113681138688 has 528 divisors, whose sum is σ = 371028018816. Its totient is φ = 34557788160.

The previous prime is 113681138663. The next prime is 113681138731. The reversal of 113681138688 is 886831186311.

113681138688 is a `hidden beast` number, since 11 + 368 + 113 + 86 + 88 = 666.

It is a super-2 number, since 2×113681138688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365534053 + ... + 365534363.

Almost surely, 2^113681138688 is an apocalyptic number.

113681138688 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 113681138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185514009408).

113681138688 is an abundant number, since it is smaller than the sum of its proper divisors (257346880128).

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

113681138688 is a wasteful number, since it uses less digits than its factorization.

113681138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 442 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 113681138688 in words is "one hundred thirteen billion, six hundred eighty-one million, one hundred thirty-eight thousand, six hundred eighty-eight".