113718168000 has 1568 divisors, whose sum is σ = 473974046208. Its totient is φ = 26873856000.

The previous prime is 113718167993. The next prime is 113718168001. The reversal of 113718168000 is 861817311.

It is a happy number.

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 (113718168001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3073463982 + ... + 3073464018.

Almost surely, 2^113718168000 is an apocalyptic number.

113718168000 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 113718168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236987023104).

113718168000 is an abundant number, since it is smaller than the sum of its proper divisors (360255878208).

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

113718168000 is an equidigital number, since it uses as much as digits as its factorization.

113718168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 113718168000 in words is "one hundred thirteen billion, seven hundred eighteen million, one hundred sixty-eight thousand".