18868918118400 has 3456 divisors, whose sum is σ = 86390439408000. Its totient is φ = 4063327027200.

The previous prime is 18868918118399. The next prime is 18868918118429. The reversal of 18868918118400 is 481181986881.

18868918118400 is a `hidden beast` number, since 1 + 8 + 8 + 68 + 91 + 81 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 104248166310 + ... + 104248166490.

It is an arithmetic number, because the mean of its divisors is an integer number (24997233625).

Almost surely, 2^{18868918118400} is an apocalyptic number.

18868918118400 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 18868918118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43195219704000).

18868918118400 is an abundant number, since it is smaller than the sum of its proper divisors (67521521289600).

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

18868918118400 is an equidigital number, since it uses as much as digits as its factorization.

18868918118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 63.

The spelling of 18868918118400 in words is "eighteen trillion, eight hundred sixty-eight billion, nine hundred eighteen million, one hundred eighteen thousand, four hundred".