114351768960 has 256 divisors, whose sum is σ = 428220414720. Its totient is φ = 25589145600.

The previous prime is 114351768919. The next prime is 114351769009. The reversal of 114351768960 is 69867153411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66315 + ... + 482805.

It is an arithmetic number, because the mean of its divisors is an integer number (1672735995).

Almost surely, 2^114351768960 is an apocalyptic number.

114351768960 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 114351768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214110207360).

114351768960 is an abundant number, since it is smaller than the sum of its proper divisors (313868645760).

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

114351768960 is a wasteful number, since it uses less digits than its factorization.

114351768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416537 (or 416525 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 114351768960 in words is "one hundred fourteen billion, three hundred fifty-one million, seven hundred sixty-eight thousand, nine hundred sixty".