114684877125 has 384 divisors, whose sum is σ = 264440816640. Its totient is φ = 46531584000.

The previous prime is 114684877117. The next prime is 114684877147. The reversal of 114684877125 is 521778486411.

It is a happy number.

114684877125 is a `hidden beast` number, since 1 + 14 + 68 + 487 + 71 + 25 = 666.

It is not a de Polignac number, because 114684877125 - 2³ = 114684877117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 373566222 + ... + 373566528.

It is an arithmetic number, because the mean of its divisors is an integer number (688647960).

Almost surely, 2^114684877125 is an apocalyptic number.

114684877125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114684877125 is an abundant number, since it is smaller than the sum of its proper divisors (149755939515).

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

114684877125 is a wasteful number, since it uses less digits than its factorization.

114684877125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 114684877125 in words is "one hundred fourteen billion, six hundred eighty-four million, eight hundred seventy-seven thousand, one hundred twenty-five".