113160705840 has 360 divisors, whose sum is σ = 476085184848. Its totient is φ = 23875568640.

The previous prime is 113160705811. The next prime is 113160705851. The reversal of 113160705840 is 48507061311.

113160705840 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 0 + 70 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113160705795 and 113160705804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335275 + ... + 582005.

Almost surely, 2^113160705840 is an apocalyptic number.

113160705840 is a gapful number since it is divisible by the number (10) 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 113160705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238042592424).

113160705840 is an abundant number, since it is smaller than the sum of its proper divisors (362924479008).

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

113160705840 is a wasteful number, since it uses less digits than its factorization.

113160705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246777 (or 246761 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 113160705840 in words is "one hundred thirteen billion, one hundred sixty million, seven hundred five thousand, eight hundred forty".