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Supplemental Condensed Consolidating Financial Information - Cash Flows (Details) - USD ($)
$ in Millions
 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Operating activities:    
Net cash provided by operating activities $ (191) $ 957
Investing activities:    
Purchases of investments (1,202) (1,894)
Proceeds from sales and maturities of investments 2,070 1,536
Purchases of property, equipment and capitalized software (24) (85)
Capital contributions to subsidiaries 0 0
Dividends from subsidiaries 0 0
Change in amounts due to/from affiliates 0 0
Other, net (23) (33)
Net cash provided by (used in) investing activities 821 (476)
Financing activities:    
Repayment of credit facility (300) 0
Cash paid for partial settlement of 1.125% Conversion Option (477) 0
Cash received for partial termination of 1.125% Call Option 477 0
Cash paid for partial termination of 1.125% Warrants (419) 0
Proceeds from senior notes offerings, net of issuance costs   325
Proceeds from borrowings under credit facility 0 300
Other, net 7 7
Net cash (used in) provided by financing activities (1,012) 632
Net increase in cash, cash equivalents, and restricted cash and cash equivalents (382) 1,113
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 3,290 2,912
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2,908 4,025
Eliminations    
Operating activities:    
Net cash provided by operating activities 0 0
Investing activities:    
Purchases of investments 0 0
Proceeds from sales and maturities of investments 0 0
Purchases of property, equipment and capitalized software 0 0
Capital contributions to subsidiaries 0 0
Dividends from subsidiaries 0 0
Change in amounts due to/from affiliates 0 0
Other, net 0 0
Net cash provided by (used in) investing activities 0 0
Financing activities:    
Repayment of credit facility 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Proceeds from borrowings under credit facility   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 0 0
Parent Guarantor | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities 451 215
Investing activities:    
Purchases of investments (136) (331)
Proceeds from sales and maturities of investments 383 148
Purchases of property, equipment and capitalized software (16) (67)
Capital contributions to subsidiaries (122) (363)
Dividends from subsidiaries 268 136
Change in amounts due to/from affiliates 70 (100)
Other, net 0 0
Net cash provided by (used in) investing activities 447 (577)
Financing activities:    
Repayment of credit facility (300)  
Cash paid for partial settlement of 1.125% Conversion Option (477)  
Cash received for partial termination of 1.125% Call Option 477  
Cash paid for partial termination of 1.125% Warrants (419)  
Proceeds from senior notes offerings, net of issuance costs   325
Proceeds from borrowings under credit facility   300
Other, net 7 7
Net cash (used in) provided by financing activities (1,012) 632
Net increase in cash, cash equivalents, and restricted cash and cash equivalents (114) 270
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 513 86
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 399 356
Other Guarantors | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities 1 0
Investing activities:    
Purchases of investments 0 0
Proceeds from sales and maturities of investments 0 0
Purchases of property, equipment and capitalized software 0 0
Capital contributions to subsidiaries 0 2
Dividends from subsidiaries 0 0
Change in amounts due to/from affiliates 1 0
Other, net 0 0
Net cash provided by (used in) investing activities 1 2
Financing activities:    
Repayment of credit facility 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Proceeds from borrowings under credit facility   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents 2 2
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2 2
Non-Guarantors | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities (643) 742
Investing activities:    
Purchases of investments (1,066) (1,563)
Proceeds from sales and maturities of investments 1,687 1,388
Purchases of property, equipment and capitalized software (8) (18)
Capital contributions to subsidiaries 122 361
Dividends from subsidiaries (268) (136)
Change in amounts due to/from affiliates (71) 100
Other, net (23) (33)
Net cash provided by (used in) investing activities 373 99
Financing activities:    
Repayment of credit facility 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Proceeds from borrowings under credit facility   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents (270) 841
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 2,777 2,826
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2,507 3,667
1.125% Notes    
Financing activities:    
Repayment of principal amount of Notes (236) 0
1.125% Notes | Eliminations    
Financing activities:    
Repayment of principal amount of Notes 0  
1.125% Notes | Parent Guarantor | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes (236)  
1.125% Notes | Other Guarantors | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes 0  
1.125% Notes | Non-Guarantors | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes 0  
1.625% Notes    
Financing activities:    
Repayment of principal amount of Notes (64) $ 0
1.625% Notes | Eliminations    
Financing activities:    
Repayment of principal amount of Notes 0  
1.625% Notes | Parent Guarantor | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes (64)  
1.625% Notes | Other Guarantors | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes 0  
1.625% Notes | Non-Guarantors | Reportable Legal Entities    
Financing activities:    
Repayment of principal amount of Notes $ 0