113432083450496 has 256 divisors, whose sum is σ = 247569309792000. Its totient is φ = 51561823272960.

The previous prime is 113432083450423. The next prime is 113432083450519. The reversal of 113432083450496 is 694054380234311.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6002005655 + ... + 6002024553.

It is an arithmetic number, because the mean of its divisors is an integer number (967067616375).

Almost surely, 2^{113432083450496} is an apocalyptic number.

113432083450496 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 113432083450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123784654896000).

113432083450496 is an abundant number, since it is smaller than the sum of its proper divisors (134137226341504).

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

113432083450496 is a wasteful number, since it uses less digits than its factorization.

113432083450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 113432083450496 in words is "one hundred thirteen trillion, four hundred thirty-two billion, eighty-three million, four hundred fifty thousand, four hundred ninety-six".