90874329411888 has 80 divisors (see below), whose sum is σ = 284555981001600. Its totient is φ = 27537675577920.

The previous prime is 90874329411493. The next prime is 90874329412297. The reversal of 90874329411888 is 88811492347809.

90874329411888 is a `hidden beast` number, since 9 + 0 + 8 + 7 + 432 + 9 + 4 + 1 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a lonely number, since its distance to closest prime (90874329411493) sets a new record.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9561688158 + ... + 9561697661.

It is an arithmetic number, because the mean of its divisors is an integer number (3556949762520).

Almost surely, 2^{90874329411888} is an apocalyptic number.

It is an amenable number.

90874329411888 is an abundant number, since it is smaller than the sum of its proper divisors (193681651589712).

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

90874329411888 is a wasteful number, since it uses less digits than its factorization.

90874329411888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123385847 (or 19123385835 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 90874329411888 in words is "ninety trillion, eight hundred seventy-four billion, three hundred twenty-nine million, four hundred eleven thousand, eight hundred eighty-eight".