90942951475764 has 36 divisors (see below), whose sum is σ = 229884037750276. Its totient is φ = 30314255712768.

The previous prime is 90942951475723. The next prime is 90942951475801. The reversal of 90942951475764 is 46757415924909.

90942951475764 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 2 + 9 + 5 + 1 + 47 + 576 + 4 = 666.

90942951475764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46917842115600 + 44025109360164 = 6849660^2 + 6635142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90942951475692 and 90942951475701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17627652 + ... + 22195044.

Almost surely, 2^{90942951475764} is an apocalyptic number.

It is an amenable number.

90942951475764 is an abundant number, since it is smaller than the sum of its proper divisors (138941086274512).

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

90942951475764 is a wasteful number, since it uses less digits than its factorization.

90942951475764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120496 (or 5120491 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 90942951475764 in words is "ninety trillion, nine hundred forty-two billion, nine hundred fifty-one million, four hundred seventy-five thousand, seven hundred sixty-four".