113117323898880 has 1248 divisors, whose sum is σ = 460818992919168. Its totient is φ = 25123671244800.

The previous prime is 113117323898857. The next prime is 113117323898897. The reversal of 113117323898880 is 88898323711311.

113117323898880 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 173 + 2 + 389 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64972614810 + ... + 64972616550.

It is an arithmetic number, because the mean of its divisors is an integer number (369245987916).

Almost surely, 2^{113117323898880} is an apocalyptic number.

113117323898880 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 113117323898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230409496459584).

113117323898880 is an abundant number, since it is smaller than the sum of its proper divisors (347701669020288).

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

113117323898880 is a wasteful number, since it uses less digits than its factorization.

113117323898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 113117323898880 in words is "one hundred thirteen trillion, one hundred seventeen billion, three hundred twenty-three million, eight hundred ninety-eight thousand, eight hundred eighty".