90500166472968 has 192 divisors, whose sum is σ = 294933759120000. Its totient is φ = 24490382109696.

The previous prime is 90500166472957. The next prime is 90500166473021. The reversal of 90500166472968 is 86927466100509.

90500166472968 is a `hidden beast` number, since 9 + 0 + 500 + 1 + 6 + 6 + 47 + 29 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38670708 + ... + 40944156.

It is an arithmetic number, because the mean of its divisors is an integer number (1536113328750).

Almost surely, 2^{90500166472968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90500166472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147466879560000).

90500166472968 is an abundant number, since it is smaller than the sum of its proper divisors (204433592647032).

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

90500166472968 is a wasteful number, since it uses less digits than its factorization.

90500166472968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277644 (or 2277637 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 90500166472968 in words is "ninety trillion, five hundred billion, one hundred sixty-six million, four hundred seventy-two thousand, nine hundred sixty-eight".