90298189924432 has 160 divisors (see below), whose sum is σ = 216293973442560. Its totient is φ = 35668811566080.

The previous prime is 90298189924379. The next prime is 90298189924489. The reversal of 90298189924432 is 23442998189209.

90298189924432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16179919 + ... + 21032977.

It is an arithmetic number, because the mean of its divisors is an integer number (1351837334016).

Almost surely, 2^{90298189924432} is an apocalyptic number.

90298189924432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90298189924432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108146986721280).

90298189924432 is an abundant number, since it is smaller than the sum of its proper divisors (125995783518128).

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

90298189924432 is a wasteful number, since it uses less digits than its factorization.

90298189924432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853361 (or 4853355 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 70.

The spelling of 90298189924432 in words is "ninety trillion, two hundred ninety-eight billion, one hundred eighty-nine million, nine hundred twenty-four thousand, four hundred thirty-two".