90016645824 has 336 divisors, whose sum is σ = 303747228928. Its totient is φ = 24953370624.

The previous prime is 90016645813. The next prime is 90016645879. The reversal of 90016645824 is 42854661009.

90016645824 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 6 + 64 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90016645824.

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, 27218379 + ... + 27221685.

Almost surely, 2^90016645824 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 90016645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151873614464).

90016645824 is an abundant number, since it is smaller than the sum of its proper divisors (213730583104).

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

90016645824 is a wasteful number, since it uses less digits than its factorization.

90016645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 90016645824 in words is "ninety billion, sixteen million, six hundred forty-five thousand, eight hundred twenty-four".