114672507675625 has 45 divisors (see below), whose sum is σ = 144761706635689. Its totient is φ = 90808292000000.

The previous prime is 114672507675623. The next prime is 114672507675629. The reversal of 114672507675625 is 526576705276411.

It is a happy number.

The square root of 114672507675625 is 10708525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 37208499415129 + 77464008260496 = 6099877^2 + 8801364^2 .

It is not a de Polignac number, because 114672507675625 - 2¹ = 114672507675623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114672507675623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27039023505 + ... + 27039027745.

Almost surely, 2^{114672507675625} is an apocalyptic number.

114672507675625 is the 10708525-th square number.

114672507675625 is the 5354263-rd centered octagonal number.

It is an amenable number.

114672507675625 is a deficient number, since it is larger than the sum of its proper divisors (30089198960064).

114672507675625 is an frugal number, since it uses more digits than its factorization.

114672507675625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 64.

The spelling of 114672507675625 in words is "one hundred fourteen trillion, six hundred seventy-two billion, five hundred seven million, six hundred seventy-five thousand, six hundred twenty-five".