18537894432 has 144 divisors (see below), whose sum is σ = 54032378400. Its totient is φ = 6025614336.

The previous prime is 18537894377. The next prime is 18537894457. The reversal of 18537894432 is 23449873581.

It is a happy number.

18537894432 is a `hidden beast` number, since 1 + 8 + 53 + 78 + 94 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 12990103 + ... + 12991529.

It is an arithmetic number, because the mean of its divisors is an integer number (375224850).

Almost surely, 2^18537894432 is an apocalyptic number.

18537894432 is a gapful number since it is divisible by the number (12) 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 18537894432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27016189200).

18537894432 is an abundant number, since it is smaller than the sum of its proper divisors (35494483968).

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

18537894432 is a wasteful number, since it uses less digits than its factorization.

18537894432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2524 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 18537894432 in words is "eighteen billion, five hundred thirty-seven million, eight hundred ninety-four thousand, four hundred thirty-two".