114164501625 has 128 divisors (see below), whose sum is σ = 214286392320. Its totient is φ = 59968512000.

The previous prime is 114164501611. The next prime is 114164501651. The reversal of 114164501625 is 526105461411.

114164501625 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 645 + 0 + 1 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 114164501625 - 2⁵ = 114164501593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114164501625.

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, 78896652 + ... + 78898098.

It is an arithmetic number, because the mean of its divisors is an integer number (1674112440).

Almost surely, 2^114164501625 is an apocalyptic number.

114164501625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114164501625 is a deficient number, since it is larger than the sum of its proper divisors (100121890695).

114164501625 is a wasteful number, since it uses less digits than its factorization.

114164501625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 114164501625 in words is "one hundred fourteen billion, one hundred sixty-four million, five hundred one thousand, six hundred twenty-five".