32800991656225 has 243 divisors, whose sum is σ = 48112942603329. Its totient is φ = 22168445644800.

The previous prime is 32800991656211. The next prime is 32800991656339. The reversal of 32800991656225 is 52265619900823.

The square root of 32800991656225 is 5727215.

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

It can be written as a sum of positive squares in 40 ways, for example, as 31870800848929 + 930190807296 = 5645423^2 + 964464^2 .

It is not a de Polignac number, because 32800991656225 - 2⁵ = 32800991656193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32800991656225.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 449328652789 + ... + 449328652861.

Almost surely, 2^{32800991656225} is an apocalyptic number.

32800991656225 is the 5727215-th square number.

32800991656225 is the 2863608-th centered octagonal number.

It is an amenable number.

32800991656225 is a deficient number, since it is larger than the sum of its proper divisors (15311950947104).

32800991656225 is an equidigital number, since it uses as much as digits as its factorization.

32800991656225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 32800991656225 in words is "thirty-two trillion, eight hundred billion, nine hundred ninety-one million, six hundred fifty-six thousand, two hundred twenty-five".