114528125952 has 66 divisors (see below), whose sum is σ = 330697504878. Its totient is φ = 38176038912.

The previous prime is 114528125897. The next prime is 114528125953. The reversal of 114528125952 is 259521825411.

114528125952 is a `hidden beast` number, since 1 + 1 + 4 + 52 + 8 + 1 + 2 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58711228416 + 55816897536 = 242304^2 + 236256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114528125898 and 114528125907.

It is not an unprimeable number, because it can be changed into a prime (114528125953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6204333 + ... + 6222764.

Almost surely, 2^114528125952 is an apocalyptic number.

114528125952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114528125952 is an abundant number, since it is smaller than the sum of its proper divisors (216169378926).

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

114528125952 is a wasteful number, since it uses less digits than its factorization.

114528125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427123 (or 12427102 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The spelling of 114528125952 in words is "one hundred fourteen billion, five hundred twenty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".