118164009600 has 2304 divisors, whose sum is σ = 575306928000. Its totient is φ = 23410114560.

The previous prime is 118164009539. The next prime is 118164009611. The reversal of 118164009600 is 6900461811.

It is a happy number.

118164009600 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 6 + 40 + 0 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 1045699144 + ... + 1045699256.

Almost surely, 2^118164009600 is an apocalyptic number.

118164009600 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 118164009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287653464000).

118164009600 is an abundant number, since it is smaller than the sum of its proper divisors (457142918400).

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

118164009600 is a wasteful number, since it uses less digits than its factorization.

118164009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 118164009600 in words is "one hundred eighteen billion, one hundred sixty-four million, nine thousand, six hundred".