118744012800 has 864 divisors, whose sum is σ = 507668288400. Its totient is φ = 27126005760.

The previous prime is 118744012789. The next prime is 118744012801. The reversal of 118744012800 is 8210447811.

118744012800 is a `hidden beast` number, since 11 + 87 + 440 + 128 + 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118744012801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67736724 + ... + 67738476.

Almost surely, 2^118744012800 is an apocalyptic number.

118744012800 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 118744012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253834144200).

118744012800 is an abundant number, since it is smaller than the sum of its proper divisors (388924275600).

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

118744012800 is a wasteful number, since it uses less digits than its factorization.

118744012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 118744012800 in words is "one hundred eighteen billion, seven hundred forty-four million, twelve thousand, eight hundred".