90332492544 has 864 divisors, whose sum is σ = 340995614400. Its totient is φ = 23410114560.

The previous prime is 90332492491. The next prime is 90332492581. The reversal of 90332492544 is 44529423309.

90332492544 is a `hidden beast` number, since 90 + 3 + 32 + 492 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×90332492544⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90332492544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166972914 + ... + 166973454.

It is an arithmetic number, because the mean of its divisors is an integer number (394670850).

Almost surely, 2^90332492544 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 90332492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170497807200).

90332492544 is an abundant number, since it is smaller than the sum of its proper divisors (250663121856).

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

90332492544 is a wasteful number, since it uses less digits than its factorization.

90332492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 90332492544 in words is "ninety billion, three hundred thirty-two million, four hundred ninety-two thousand, five hundred forty-four".