90892602256 has 135 divisors (see below), whose sum is σ = 192363197299. Its totient is φ = 41599968256.

The previous prime is 90892602253. The next prime is 90892602323. The reversal of 90892602256 is 65220629809.

The square root of 90892602256 is 301484.

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 31364410000 + 59528192256 = 177100^2 + 243984^2 .

It is a super-2 number, since 2×90892602256² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90892602253) 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 26 ways as a sum of consecutive naturals, for example, 804359256 + ... + 804359368.

Almost surely, 2^90892602256 is an apocalyptic number.

90892602256 is the 301484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90892602256

90892602256 is an abundant number, since it is smaller than the sum of its proper divisors (101470595043).

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

90892602256 is a wasteful number, since it uses less digits than its factorization.

90892602256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 90892602256 by its sum of digits (49), we get a square (4453737510544 = 2110388²).

The spelling of 90892602256 in words is "ninety billion, eight hundred ninety-two million, six hundred two thousand, two hundred fifty-six".