114625200791952 has 120 divisors (see below), whose sum is σ = 328801181252544. Its totient is φ = 37263010666752.

The previous prime is 114625200791873. The next prime is 114625200792077. The reversal of 114625200791952 is 259197002526411.

114625200791952 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 520 + 0 + 7 + 9 + 1 + 9 + 52 = 666.

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, 43692598 + ... + 46241685.

Almost surely, 2^{114625200791952} is an apocalyptic number.

114625200791952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114625200791952 is an abundant number, since it is smaller than the sum of its proper divisors (214175980460592).

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

114625200791952 is a wasteful number, since it uses less digits than its factorization.

114625200791952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89934517 (or 89934508 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 114625200791952 in words is "one hundred fourteen trillion, six hundred twenty-five billion, two hundred million, seven hundred ninety-one thousand, nine hundred fifty-two".