185240565516721 has 27 divisors (see below), whose sum is σ = 220481074623873. Its totient is φ = 155444995168320.

The previous prime is 185240565516719. The next prime is 185240565516779. The reversal of 185240565516721 is 127615565042581.

The square root of 185240565516721 is 13610311.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1959330857121 + 183281234659600 = 1399761^2 + 13538140^2 .

It is not a de Polignac number, because 185240565516721 - 2¹ = 185240565516719 is a prime.

It is a super-2 number, since 2×185240565516721² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185240565516421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1946226885 + ... + 1946322061.

Almost surely, 2^{185240565516721} is an apocalyptic number.

185240565516721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

185240565516721 is the 13610311-st square number.

185240565516721 is the 6805156-th centered octagonal number.

It is an amenable number.

185240565516721 is a deficient number, since it is larger than the sum of its proper divisors (35240509107152).

185240565516721 is an frugal number, since it uses more digits than its factorization.

185240565516721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190402 (or 95201 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 58.

The spelling of 185240565516721 in words is "one hundred eighty-five trillion, two hundred forty billion, five hundred sixty-five million, five hundred sixteen thousand, seven hundred twenty-one".