118138049510400 has 924 divisors, whose sum is σ = 439510394268792. Its totient is φ = 31471037153280.

The previous prime is 118138049510389. The next prime is 118138049510417. The reversal of 118138049510400 is 4015940831811.

118138049510400 is a `hidden beast` number, since 1 + 1 + 8 + 13 + 80 + 4 + 9 + 510 + 40 + 0 = 666.

118138049510400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 83 ways as a sum of consecutive naturals, for example, 22152266134 + ... + 22152271466.

It is an arithmetic number, because the mean of its divisors is an integer number (475660599858).

Almost surely, 2^{118138049510400} is an apocalyptic number.

118138049510400 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 118138049510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219755197134396).

118138049510400 is an abundant number, since it is smaller than the sum of its proper divisors (321372344758392).

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

118138049510400 is an equidigital number, since it uses as much as digits as its factorization.

118138049510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 118138049510400 in words is "one hundred eighteen trillion, one hundred thirty-eight billion, forty-nine million, five hundred ten thousand, four hundred".