90453894840 has 96 divisors (see below), whose sum is σ = 294012276480. Its totient is φ = 24117993216.

The previous prime is 90453894823. The next prime is 90453894913. The reversal of 90453894840 is 4849835409.

90453894840 is a `hidden beast` number, since 90 + 45 + 38 + 9 + 484 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5491497 + ... + 5507943.

It is an arithmetic number, because the mean of its divisors is an integer number (3062627880).

Almost surely, 2^90453894840 is an apocalyptic number.

90453894840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90453894840 is an abundant number, since it is smaller than the sum of its proper divisors (203558381640).

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

90453894840 is a wasteful number, since it uses less digits than its factorization.

90453894840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31741 (or 31734 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90453894840 in words is "ninety billion, four hundred fifty-three million, eight hundred ninety-four thousand, eight hundred forty".