113417406516960 has 576 divisors, whose sum is σ = 479275609333248. Its totient is φ = 23783013199872.

The previous prime is 113417406516959. The next prime is 113417406516977. The reversal of 113417406516960 is 69615604714311.

113417406516960 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 17 + 406 + 5 + 169 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113417406516897 and 113417406516906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18704559 + ... + 24014481.

It is an arithmetic number, because the mean of its divisors is an integer number (832075710648).

Almost surely, 2^{113417406516960} is an apocalyptic number.

113417406516960 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 113417406516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239637804666624).

113417406516960 is an abundant number, since it is smaller than the sum of its proper divisors (365858202816288).

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

113417406516960 is a wasteful number, since it uses less digits than its factorization.

113417406516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310127 (or 5310116 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 113417406516960 in words is "one hundred thirteen trillion, four hundred seventeen billion, four hundred six million, five hundred sixteen thousand, nine hundred sixty".