118938218400000 has 864 divisors, whose sum is σ = 444163431720960. Its totient is φ = 31389327360000.

The previous prime is 118938218399993. The next prime is 118938218400017. The reversal of 118938218400000 is 4812839811.

118938218400000 is a `hidden beast` number, since 11 + 89 + 382 + 184 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2095171617 + ... + 2095228383.

Almost surely, 2^{118938218400000} is an apocalyptic number.

118938218400000 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 118938218400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222081715860480).

118938218400000 is an abundant number, since it is smaller than the sum of its proper divisors (325225213320960).

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

118938218400000 is an frugal number, since it uses more digits than its factorization.

118938218400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56914 (or 56874 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 118938218400000 in words is "one hundred eighteen trillion, nine hundred thirty-eight billion, two hundred eighteen million, four hundred thousand".