205232216256 has 84 divisors (see below), whose sum is σ = 590385237312. Its totient is φ = 68163715584.

The previous prime is 205232216227. The next prime is 205232216257. The reversal of 205232216256 is 652612232502.

205232216256 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 3 + 2 + 21 + 625 + 6 = 666.

It is a super-3 number, since 3×205232216256³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205232216256.

It is not an unprimeable number, because it can be changed into a prime (205232216257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483600 + ... + 802703.

Almost surely, 2^205232216256 is an apocalyptic number.

It is an amenable number.

205232216256 is an abundant number, since it is smaller than the sum of its proper divisors (385153021056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205232216256 is a wasteful number, since it uses less digits than its factorization.

205232216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286598 (or 1286585 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 205232216256 its reverse (652612232502), we get a palindrome (857844448758).

The spelling of 205232216256 in words is "two hundred five billion, two hundred thirty-two million, two hundred sixteen thousand, two hundred fifty-six".