114839928000 has 1008 divisors, whose sum is σ = 489630439584. Its totient is φ = 25604812800.

The previous prime is 114839927953. The next prime is 114839928067. The reversal of 114839928000 is 829938411.

114839928000 is a `hidden beast` number, since 1 + 1 + 483 + 9 + 92 + 80 + 0 + 0 = 666.

114839928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 151703622 + ... + 151704378.

Almost surely, 2^114839928000 is an apocalyptic number.

114839928000 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 114839928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244815219792).

114839928000 is an abundant number, since it is smaller than the sum of its proper divisors (374790511584).

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

114839928000 is a wasteful number, since it uses less digits than its factorization.

114839928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 114839928000 in words is "one hundred fourteen billion, eight hundred thirty-nine million, nine hundred twenty-eight thousand".