113945180160 has 576 divisors, whose sum is σ = 431574998400. Its totient is φ = 25583222784.

The previous prime is 113945180149. The next prime is 113945180171. The reversal of 113945180160 is 61081549311.

It is an interprime number because it is at equal distance from previous prime (113945180149) and next prime (113945180171).

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, 88810879 + ... + 88812161.

It is an arithmetic number, because the mean of its divisors is an integer number (749262150).

Almost surely, 2^113945180160 is an apocalyptic number.

113945180160 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 113945180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215787499200).

113945180160 is an abundant number, since it is smaller than the sum of its proper divisors (317629818240).

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

113945180160 is a wasteful number, since it uses less digits than its factorization.

113945180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 113945180160 in words is "one hundred thirteen billion, nine hundred forty-five million, one hundred eighty thousand, one hundred sixty".