113795690112 has 768 divisors, whose sum is σ = 387794534400. Its totient is φ = 31729065984.

The previous prime is 113795690069. The next prime is 113795690171. The reversal of 113795690112 is 211096597311.

113795690112 is a `hidden beast` number, since 1 + 1 + 3 + 79 + 569 + 0 + 1 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 896028993 + ... + 896029119.

It is an arithmetic number, because the mean of its divisors is an integer number (504940800).

Almost surely, 2^113795690112 is an apocalyptic number.

113795690112 is a gapful number since it is divisible by the number (12) 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 113795690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193897267200).

113795690112 is an abundant number, since it is smaller than the sum of its proper divisors (273998844288).

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

113795690112 is a wasteful number, since it uses less digits than its factorization.

113795690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 113795690112 in words is "one hundred thirteen billion, seven hundred ninety-five million, six hundred ninety thousand, one hundred twelve".