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Schedule III - Real Estate and Accumulated Depreciation - Changes in Real Estate Assets (Details) - USD ($)
 12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Balance, beginning of period $ 12,008,075,148 $ 11,568,809,126 $ 10,018,225,775
Acquisitions 438,125,265 181,719,189 278,401,182
Improvements 414,955,609 217,668,292 191,662,698
Transfers from unconsolidated joint ventures 329,194,717 615,511,560 1,673,542,610
Change in exchange rate 1,035,816 598,744
Sales (315,954,464) (391,758,149) (507,185,370)
Assets held for sale (56,187,719) (12,608,829) (587,007)
Adjustment of fully depreciated assets (107,660,366) (80,660,536) (56,774,522)
Adjustment of property carrying values (58,139,008) (91,204,249) (18,432,226)
Change in exchange rate (10,044,014)
Balance, end of period 12,653,444,998 12,008,075,148 11,568,809,126
Balance, beginning of period 2,278,291,645 2,115,319,888 1,955,405,720
Depreciation for year 368,919,387 344,179,201 333,948,605
Change in exchange rate 366,068
Sales (86,798,173) (97,888,608) (116,864,875)
Assets held for sale (19,699,746) (3,482,974)
Adjustment of fully depreciated assets (107,660,366) (80,660,536) (56,774,522)
Change in exchange rate (395,040)
Balance, end of period $ 2,433,052,747 $ 2,278,291,645 $ 2,115,319,888