114362330625 has 135 divisors (see below), whose sum is σ = 215641079797. Its totient is φ = 60628014000.

The previous prime is 114362330611. The next prime is 114362330639. The reversal of 114362330625 is 526033263411.

The square root of 114362330625 is 338175.

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

114362330625 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 6 + 23 + 3 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (114362330611) and next prime (114362330639).

It can be written as a sum of positive squares in 2 ways, for example, as 8966006721 + 105396323904 = 94689^2 + 324648^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-114362330625 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114362330625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 684804292 + ... + 684804458.

Almost surely, 2^114362330625 is an apocalyptic number.

114362330625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114362330625 is the 338175-th square number.

114362330625 is the 169088-th centered octagonal number.

It is an amenable number.

114362330625 is a deficient number, since it is larger than the sum of its proper divisors (101278749172).

114362330625 is an frugal number, since it uses more digits than its factorization.

114362330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 114362330625 by its sum of digits (36), we get a square (4117043902500 = 2029050²).

The spelling of 114362330625 in words is "one hundred fourteen billion, three hundred sixty-two million, three hundred thirty thousand, six hundred twenty-five".