118536566400 has 2016 divisors, whose sum is σ = 549618175980. Its totient is φ = 25082265600.

The previous prime is 118536566387. The next prime is 118536566441. The reversal of 118536566400 is 4665635811.

118536566400 is a `hidden beast` number, since 1 + 1 + 8 + 536 + 56 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26174062656 + 92362503744 = 161784^2 + 303912^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1943222370 + ... + 1943222430.

Almost surely, 2^118536566400 is an apocalyptic number.

118536566400 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 118536566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274809087990).

118536566400 is an abundant number, since it is smaller than the sum of its proper divisors (431081609580).

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

118536566400 is an equidigital number, since it uses as much as digits as its factorization.

118536566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 118536566400 in words is "one hundred eighteen billion, five hundred thirty-six million, five hundred sixty-six thousand, four hundred".