114835680960 has 896 divisors, whose sum is σ = 496546412544. Its totient is φ = 21711421440.

The previous prime is 114835680919. The next prime is 114835680979. The reversal of 114835680960 is 69086538411.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70149262 + ... + 70150898.

It is an arithmetic number, because the mean of its divisors is an integer number (554181264).

Almost surely, 2^114835680960 is an apocalyptic number.

114835680960 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 114835680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248273206272).

114835680960 is an abundant number, since it is smaller than the sum of its proper divisors (381710731584).

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

114835680960 is a wasteful number, since it uses less digits than its factorization.

114835680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1751 counting only the distinct ones).

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

The spelling of 114835680960 in words is "one hundred fourteen billion, eight hundred thirty-five million, six hundred eighty thousand, nine hundred sixty".