113960682528 has 192 divisors, whose sum is σ = 379285079040. Its totient is φ = 29098368000.

The previous prime is 113960682527. The next prime is 113960682529. The reversal of 113960682528 is 825286069311.

It is an interprime number because it is at equal distance from previous prime (113960682527) and next prime (113960682529).

It is not an unprimeable number, because it can be changed into a prime (113960682527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305478 + ... + 566778.

It is an arithmetic number, because the mean of its divisors is an integer number (1975443120).

Almost surely, 2^113960682528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113960682528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189642539520).

113960682528 is an abundant number, since it is smaller than the sum of its proper divisors (265324396512).

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

113960682528 is a wasteful number, since it uses less digits than its factorization.

113960682528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261391 (or 261383 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 113960682528 in words is "one hundred thirteen billion, nine hundred sixty million, six hundred eighty-two thousand, five hundred twenty-eight".