90504345629295 has 64 divisors (see below), whose sum is σ = 173319706277760. Its totient is φ = 44544046611456.

The previous prime is 90504345629281. The next prime is 90504345629363. The reversal of 90504345629295 is 59292654340509.

90504345629295 is a `hidden beast` number, since 9 + 0 + 5 + 0 + 4 + 3 + 456 + 2 + 92 + 95 = 666.

It is not a de Polignac number, because 90504345629295 - 2⁵ = 90504345629263 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355822 + ... + 13458651.

It is an arithmetic number, because the mean of its divisors is an integer number (2708120410590).

Almost surely, 2^{90504345629295} is an apocalyptic number.

90504345629295 is a deficient number, since it is larger than the sum of its proper divisors (82815360648465).

90504345629295 is a wasteful number, since it uses less digits than its factorization.

90504345629295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818233 (or 13818227 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 90504345629295 in words is "ninety trillion, five hundred four billion, three hundred forty-five million, six hundred twenty-nine thousand, two hundred ninety-five".