113395696128 has 480 divisors, whose sum is σ = 394958596032. Its totient is φ = 30855168000.

The previous prime is 113395696121. The next prime is 113395696129. The reversal of 113395696128 is 821696593311.

113395696128 is a `hidden beast` number, since 1 + 13 + 3 + 9 + 5 + 6 + 9 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (113395696121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24378603 + ... + 24383253.

Almost surely, 2^113395696128 is an apocalyptic number.

113395696128 is a gapful number since it is divisible by the number (18) 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 113395696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197479298016).

113395696128 is an abundant number, since it is smaller than the sum of its proper divisors (281562899904).

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

113395696128 is a wasteful number, since it uses less digits than its factorization.

113395696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4717 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 113395696128 in words is "one hundred thirteen billion, three hundred ninety-five million, six hundred ninety-six thousand, one hundred twenty-eight".