113641276320 has 960 divisors, whose sum is σ = 499028656896. Its totient is φ = 23927685120.

The previous prime is 113641276291. The next prime is 113641276379. The reversal of 113641276320 is 23672146311.

113641276320 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 12 + 7 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31503957 + ... + 31507563.

Almost surely, 2^113641276320 is an apocalyptic number.

113641276320 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 113641276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249514328448).

113641276320 is an abundant number, since it is smaller than the sum of its proper divisors (385387380576).

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

113641276320 is a wasteful number, since it uses less digits than its factorization.

113641276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 113641276320 in words is "one hundred thirteen billion, six hundred forty-one million, two hundred seventy-six thousand, three hundred twenty".