113125332556416 has 128 divisors (see below), whose sum is σ = 318256831028160. Its totient is φ = 35480056709120.

The previous prime is 113125332556387. The next prime is 113125332556417. The reversal of 113125332556416 is 614655233521311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (113125332556417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20133406 + ... + 25131746.

Almost surely, 2^{113125332556416} is an apocalyptic number.

113125332556416 is a gapful number since it is divisible by the number (16) 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 113125332556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159128415514080).

113125332556416 is an abundant number, since it is smaller than the sum of its proper divisors (205131498471744).

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

113125332556416 is a wasteful number, since it uses less digits than its factorization.

113125332556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001842 (or 5001830 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 48.

The spelling of 113125332556416 in words is "one hundred thirteen trillion, one hundred twenty-five billion, three hundred thirty-two million, five hundred fifty-six thousand, four hundred sixteen".