90556806305956 has 27 divisors (see below), whose sum is σ = 160677496665441. Its totient is φ = 44657465893344.

The previous prime is 90556806305951. The next prime is 90556806305971. The reversal of 90556806305956 is 65950360865509.

The square root of 90556806305956 is 9516134.

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

It can be written as a sum of positive squares in only one way, i.e., 51404454696100 + 39152351609856 = 7169690^2 + 6257184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90556806305891 and 90556806305900.

It is not an unprimeable number, because it can be changed into a prime (90556806305951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1389322975 + ... + 1389388153.

Almost surely, 2^{90556806305956} is an apocalyptic number.

90556806305956 is the 9516134-th square number.

It is an amenable number.

90556806305956 is a deficient number, since it is larger than the sum of its proper divisors (70120690359485).

90556806305956 is an frugal number, since it uses more digits than its factorization.

90556806305956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130508 (or 65254 counting only the distinct ones).

The product of its (nonzero) digits is 262440000, while the sum is 67.

The spelling of 90556806305956 in words is "ninety trillion, five hundred fifty-six billion, eight hundred six million, three hundred five thousand, nine hundred fifty-six".