113190916320 has 288 divisors, whose sum is σ = 401157181152. Its totient is φ = 30140024832.

The previous prime is 113190916309. The next prime is 113190916339. The reversal of 113190916320 is 23619091311.

113190916320 is a `hidden beast` number, since 1 + 1 + 3 + 19 + 0 + 9 + 1 + 632 + 0 = 666.

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

It is a super-2 number, since 2×113190916320² (a number of 23 digits) contains 22 as substring.

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

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, 33162934 + ... + 33166346.

It is an arithmetic number, because the mean of its divisors is an integer number (1392906879).

Almost surely, 2^113190916320 is an apocalyptic number.

113190916320 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 113190916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200578590576).

113190916320 is an abundant number, since it is smaller than the sum of its proper divisors (287966264832).

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

113190916320 is an equidigital number, since it uses as much as digits as its factorization.

113190916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 113190916320 in words is "one hundred thirteen billion, one hundred ninety million, nine hundred sixteen thousand, three hundred twenty".