113359105108480 has 2560 divisors, whose sum is σ = 395341096550400. Its totient is φ = 30060498124800.

The previous prime is 113359105108441. The next prime is 113359105108507. The reversal of 113359105108480 is 84801501953311.

113359105108480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 155927241877 + ... + 155927242603.

It is an arithmetic number, because the mean of its divisors is an integer number (154430115840).

Almost surely, 2^{113359105108480} is an apocalyptic number.

113359105108480 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 113359105108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197670548275200).

113359105108480 is an abundant number, since it is smaller than the sum of its proper divisors (281981991441920).

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

113359105108480 is a wasteful number, since it uses less digits than its factorization.

113359105108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 113359105108480 in words is "one hundred thirteen trillion, three hundred fifty-nine billion, one hundred five million, one hundred eight thousand, four hundred eighty".