113488240320 has 1792 divisors, whose sum is σ = 530907955200. Its totient is φ = 22156001280.

The previous prime is 113488240319. The next prime is 113488240321. The reversal of 113488240320 is 23042884311.

It is a happy number.

113488240320 is a `hidden beast` number, since 1 + 13 + 4 + 88 + 240 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (113488240319) and next prime (113488240321).

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

It is not an unprimeable number, because it can be changed into a prime (113488240321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1060637707 + ... + 1060637813.

It is an arithmetic number, because the mean of its divisors is an integer number (296265600).

Almost surely, 2^113488240320 is an apocalyptic number.

113488240320 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 113488240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265453977600).

113488240320 is an abundant number, since it is smaller than the sum of its proper divisors (417419714880).

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

113488240320 is a wasteful number, since it uses less digits than its factorization.

113488240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 113488240320 in words is "one hundred thirteen billion, four hundred eighty-eight million, two hundred forty thousand, three hundred twenty".