90264445064955 has 96 divisors (see below), whose sum is σ = 193356028329984. Its totient is φ = 38010159203328.

The previous prime is 90264445064903. The next prime is 90264445065017. The reversal of 90264445064955 is 55946054446209.

90264445064955 is a `hidden beast` number, since 90 + 2 + 6 + 4 + 4 + 4 + 50 + 6 + 495 + 5 = 666.

It is not a de Polignac number, because 90264445064955 - 2⁸ = 90264445064699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 90264445064892 and 90264445064901.

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 95 ways as a sum of consecutive naturals, for example, 179068587 + ... + 179571956.

It is an arithmetic number, because the mean of its divisors is an integer number (2014125295104).

Almost surely, 2^{90264445064955} is an apocalyptic number.

90264445064955 is an abundant number, since it is smaller than the sum of its proper divisors (103091583265029).

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

90264445064955 is a wasteful number, since it uses less digits than its factorization.

90264445064955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358640625 (or 358640622 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 90264445064955 in words is "ninety trillion, two hundred sixty-four billion, four hundred forty-five million, sixty-four thousand, nine hundred fifty-five".