114943888800 has 432 divisors, whose sum is σ = 437881036320. Its totient is φ = 28204369920.

The previous prime is 114943888777. The next prime is 114943888847. The reversal of 114943888800 is 8888349411.

114943888800 is a `hidden beast` number, since 11 + 49 + 438 + 88 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32477431 + ... + 32480969.

It is an arithmetic number, because the mean of its divisors is an integer number (1013613510).

Almost surely, 2^114943888800 is an apocalyptic number.

114943888800 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 114943888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218940518160).

114943888800 is an abundant number, since it is smaller than the sum of its proper divisors (322937147520).

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

114943888800 is a wasteful number, since it uses less digits than its factorization.

114943888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 114943888800 in words is "one hundred fourteen billion, nine hundred forty-three million, eight hundred eighty-eight thousand, eight hundred".