90431645832 has 320 divisors, whose sum is σ = 286628284800. Its totient is φ = 26396098560.

The previous prime is 90431645831. The next prime is 90431645849. The reversal of 90431645832 is 23854613409.

90431645832 is a `hidden beast` number, since 9 + 0 + 4 + 3 + 1 + 64 + 583 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (90431645831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27163144 + ... + 27166472.

It is an arithmetic number, because the mean of its divisors is an integer number (895713390).

Almost surely, 2^90431645832 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 90431645832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143314142400).

90431645832 is an abundant number, since it is smaller than the sum of its proper divisors (196196638968).

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

90431645832 is a wasteful number, since it uses less digits than its factorization.

90431645832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90431645832 in words is "ninety billion, four hundred thirty-one million, six hundred forty-five thousand, eight hundred thirty-two".