113611680000 has 2160 divisors, whose sum is σ = 548893797760. Its totient is φ = 22560768000.

The previous prime is 113611679981. The next prime is 113611680029. The reversal of 113611680000 is 86116311.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×113611680000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6683039992 + ... + 6683040008.

Almost surely, 2^113611680000 is an apocalyptic number.

113611680000 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 113611680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274446898880).

113611680000 is an abundant number, since it is smaller than the sum of its proper divisors (435282117760).

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

113611680000 is an equidigital number, since it uses as much as digits as its factorization.

113611680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 113611680000 its reverse (86116311), we get a palindrome (113697796311).

The spelling of 113611680000 in words is "one hundred thirteen billion, six hundred eleven million, six hundred eighty thousand".