18638965800 has 1152 divisors, whose sum is σ = 83357164800. Its totient is φ = 3622993920.

The previous prime is 18638965769. The next prime is 18638965817. The reversal of 18638965800 is 856983681.

18638965800 is a `hidden beast` number, since 186 + 389 + 6 + 5 + 80 + 0 = 666.

It is a super-2 number, since 2×18638965800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 164946544 + ... + 164946656.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 2^18638965800 is an apocalyptic number.

18638965800 is a gapful number since it is divisible by the number (10) 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 18638965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678582400).

18638965800 is an abundant number, since it is smaller than the sum of its proper divisors (64718199000).

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

18638965800 is a wasteful number, since it uses less digits than its factorization.

18638965800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18638965800 in words is "eighteen billion, six hundred thirty-eight million, nine hundred sixty-five thousand, eight hundred".