113509416960 has 960 divisors, whose sum is σ = 442275859200. Its totient is φ = 27518828544.

The previous prime is 113509416953. The next prime is 113509416991. The reversal of 113509416960 is 69614905311.

113509416960 is a `hidden beast` number, since 1 + 13 + 509 + 41 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1554923484 + ... + 1554923556.

It is an arithmetic number, because the mean of its divisors is an integer number (460704020).

Almost surely, 2^113509416960 is an apocalyptic number.

113509416960 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 113509416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221137929600).

113509416960 is an abundant number, since it is smaller than the sum of its proper divisors (328766442240).

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

113509416960 is an equidigital number, since it uses as much as digits as its factorization.

113509416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 113509416960 in words is "one hundred thirteen billion, five hundred nine million, four hundred sixteen thousand, nine hundred sixty".