113617326240 has 960 divisors, whose sum is σ = 461987463168. Its totient is φ = 26040268800.

The previous prime is 113617326223. The next prime is 113617326247. The reversal of 113617326240 is 42623716311.

113617326240 is a `hidden beast` number, since 1 + 1 + 3 + 617 + 32 + 6 + 2 + 4 + 0 = 666.

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 = 113617326195 and 113617326204.

It is not an unprimeable number, because it can be changed into a prime (113617326247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207709647 + ... + 207710193.

Almost surely, 2^113617326240 is an apocalyptic number.

113617326240 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 113617326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230993731584).

113617326240 is an abundant number, since it is smaller than the sum of its proper divisors (348370136928).

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

113617326240 is a wasteful number, since it uses less digits than its factorization.

113617326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

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

The spelling of 113617326240 in words is "one hundred thirteen billion, six hundred seventeen million, three hundred twenty-six thousand, two hundred forty".