113952706560 has 1872 divisors, whose sum is σ = 531399578112. Its totient is φ = 22295347200.

The previous prime is 113952706547. The next prime is 113952706583. The reversal of 113952706560 is 65607259311.

113952706560 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 527 + 0 + 65 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3079802862 + ... + 3079802898.

It is an arithmetic number, because the mean of its divisors is an integer number (283867296).

Almost surely, 2^113952706560 is an apocalyptic number.

113952706560 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 113952706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265699789056).

113952706560 is an abundant number, since it is smaller than the sum of its proper divisors (417446871552).

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

113952706560 is a wasteful number, since it uses less digits than its factorization.

113952706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 113952706560 in words is "one hundred thirteen billion, nine hundred fifty-two million, seven hundred six thousand, five hundred sixty".