118679904000 has 1440 divisors, whose sum is σ = 523487956992. Its totient is φ = 26127360000.

The previous prime is 118679903999. The next prime is 118679904011. The reversal of 118679904000 is 409976811.

It is a happy number.

118679904000 is a `hidden beast` number, since 11 + 86 + 79 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×118679904000⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 562463895 + ... + 562464105.

Almost surely, 2^118679904000 is an apocalyptic number.

118679904000 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 118679904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261743978496).

118679904000 is an abundant number, since it is smaller than the sum of its proper divisors (404808052992).

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

118679904000 is an equidigital number, since it uses as much as digits as its factorization.

118679904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 118679904000 in words is "one hundred eighteen billion, six hundred seventy-nine million, nine hundred four thousand".