90914668800 has 216 divisors, whose sum is σ = 300488309184. Its totient is φ = 24207482880.

The previous prime is 90914668799. The next prime is 90914668981. The reversal of 90914668800 is 886641909.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14262414 + ... + 14268786.

Almost surely, 2^90914668800 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 90914668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150244154592).

90914668800 is an abundant number, since it is smaller than the sum of its proper divisors (209573640384).

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

90914668800 is a wasteful number, since it uses less digits than its factorization.

90914668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 90914668800 in words is "ninety billion, nine hundred fourteen million, six hundred sixty-eight thousand, eight hundred".