113159337984 has 576 divisors, whose sum is σ = 422704638720. Its totient is φ = 29382082560.

The previous prime is 113159337923. The next prime is 113159338001. The reversal of 113159337984 is 489733951311.

113159337984 is a `hidden beast` number, since 1 + 13 + 1 + 593 + 37 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113159337984.

It is a congruent number.

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, 38318652 + ... + 38321604.

It is an arithmetic number, because the mean of its divisors is an integer number (733862220).

Almost surely, 2^113159337984 is an apocalyptic number.

113159337984 is a gapful number since it is divisible by the number (14) 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 113159337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211352319360).

113159337984 is an abundant number, since it is smaller than the sum of its proper divisors (309545300736).

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

113159337984 is an equidigital number, since it uses as much as digits as its factorization.

113159337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2976 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 113159337984 in words is "one hundred thirteen billion, one hundred fifty-nine million, three hundred thirty-seven thousand, nine hundred eighty-four".