90311332608 has 432 divisors, whose sum is σ = 315037632000. Its totient is φ = 24305909760.

The previous prime is 90311332597. The next prime is 90311332619. The reversal of 90311332608 is 80623311309.

90311332608 is a `hidden beast` number, since 9 + 0 + 3 + 1 + 13 + 32 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (90311332597) and next prime (90311332619).

It is a super-2 number, since 2×90311332608² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60979228 + ... + 60980708.

Almost surely, 2^90311332608 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 90311332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157518816000).

90311332608 is an abundant number, since it is smaller than the sum of its proper divisors (224726299392).

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

90311332608 is a wasteful number, since it uses less digits than its factorization.

90311332608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 90311332608 in words is "ninety billion, three hundred eleven million, three hundred thirty-two thousand, six hundred eight".