114024405625 has 45 divisors (see below), whose sum is σ = 154437019803. Its totient is φ = 84121596000.

The previous prime is 114024405617. The next prime is 114024405629. The reversal of 114024405625 is 526504420411.

The square root of 114024405625 is 337675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 112625346409 + 1399059216 = 335597^2 + 37404^2 .

It is not a de Polignac number, because 114024405625 - 2³ = 114024405617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114024405629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109743856 + ... + 109744894.

Almost surely, 2^114024405625 is an apocalyptic number.

114024405625 is the 337675-th square number.

114024405625 is the 168838-th centered octagonal number.

It is an amenable number.

114024405625 is a deficient number, since it is larger than the sum of its proper divisors (40412614178).

114024405625 is an frugal number, since it uses more digits than its factorization.

114024405625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 114024405625 in words is "one hundred fourteen billion, twenty-four million, four hundred five thousand, six hundred twenty-five".