113038846887096 has 384 divisors, whose sum is σ = 350596286651520. Its totient is φ = 32634365018112.

The previous prime is 113038846887037. The next prime is 113038846887097. The reversal of 113038846887096 is 690788648830311.

113038846887096 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 8 + 8 + 468 + 8 + 70 + 96 = 666.

It is a super-3 number, since 3×113038846887096³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113038846887097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8325753460 + ... + 8325767036.

It is an arithmetic number, because the mean of its divisors is an integer number (913011163155).

Almost surely, 2^{113038846887096} 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 113038846887096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175298143325760).

113038846887096 is an abundant number, since it is smaller than the sum of its proper divisors (237557439764424).

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

113038846887096 is a wasteful number, since it uses less digits than its factorization.

113038846887096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20975 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 113038846887096 in words is "one hundred thirteen trillion, thirty-eight billion, eight hundred forty-six million, eight hundred eighty-seven thousand, ninety-six".