90046023598080 has 1840 divisors, whose sum is σ = 362484459152640. Its totient is φ = 21199690137600.

The previous prime is 90046023598079. The next prime is 90046023598099. The reversal of 90046023598080 is 8089532064009.

90046023598080 is a `hidden beast` number, since 9 + 0 + 0 + 46 + 0 + 2 + 3 + 598 + 0 + 8 + 0 = 666.

90046023598080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1139823083481 + ... + 1139823083559.

Almost surely, 2^{90046023598080} is an apocalyptic number.

90046023598080 is a gapful number since it is divisible by the number (90) 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 90046023598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181242229576320).

90046023598080 is an abundant number, since it is smaller than the sum of its proper divisors (272438435554560).

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

90046023598080 is an frugal number, since it uses more digits than its factorization.

90046023598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 90046023598080 in words is "ninety trillion, forty-six billion, twenty-three million, five hundred ninety-eight thousand, eighty".