113216115643104 has 96 divisors (see below), whose sum is σ = 300105504002304. Its totient is φ = 37368842987520.

The previous prime is 113216115643079. The next prime is 113216115643139. The reversal of 113216115643104 is 401346511612311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107164552 + ... + 108215864.

It is an arithmetic number, because the mean of its divisors is an integer number (3126099000024).

Almost surely, 2^{113216115643104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113216115643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150052752001152).

113216115643104 is an abundant number, since it is smaller than the sum of its proper divisors (186889388359200).

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

113216115643104 is a wasteful number, since it uses less digits than its factorization.

113216115643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062320 (or 1062312 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 113216115643104 in words is "one hundred thirteen trillion, two hundred sixteen billion, one hundred fifteen million, six hundred forty-three thousand, one hundred four".