114791825952 has 144 divisors (see below), whose sum is σ = 331904926080. Its totient is φ = 37627200000.

The previous prime is 114791825917. The next prime is 114791826059. The reversal of 114791825952 is 259528197411.

114791825952 is a `hidden beast` number, since 1 + 1 + 47 + 9 + 1 + 8 + 2 + 595 + 2 = 666.

114791825952 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 (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5700702 + ... + 5720802.

It is an arithmetic number, because the mean of its divisors is an integer number (2304895320).

Almost surely, 2^114791825952 is an apocalyptic number.

114791825952 is a gapful number since it is divisible by the number (12) 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 114791825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165952463040).

114791825952 is an abundant number, since it is smaller than the sum of its proper divisors (217113100128).

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

114791825952 is a wasteful number, since it uses less digits than its factorization.

114791825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20447 (or 20436 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 114791825952 in words is "one hundred fourteen billion, seven hundred ninety-one million, eight hundred twenty-five thousand, nine hundred fifty-two".