113971017888 has 288 divisors, whose sum is σ = 411769193472. Its totient is φ = 29088460800.

The previous prime is 113971017887. The next prime is 113971017907. The reversal of 113971017888 is 888710179311.

113971017888 is a `hidden beast` number, since 1 + 1 + 397 + 1 + 0 + 178 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (113971017883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742308 + ... + 882588.

It is an arithmetic number, because the mean of its divisors is an integer number (1429754144).

Almost surely, 2^113971017888 is an apocalyptic number.

113971017888 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 113971017888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205884596736).

113971017888 is an abundant number, since it is smaller than the sum of its proper divisors (297798175584).

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

113971017888 is a wasteful number, since it uses less digits than its factorization.

113971017888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140348 (or 140337 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 54.

The spelling of 113971017888 in words is "one hundred thirteen billion, nine hundred seventy-one million, seventeen thousand, eight hundred eighty-eight".