114529058330625 has 135 divisors (see below), whose sum is σ = 207857160013503. Its totient is φ = 60748695576000.

The previous prime is 114529058330549. The next prime is 114529058330653. The reversal of 114529058330625 is 526033850925411.

The square root of 114529058330625 is 10701825.

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

114529058330625 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 9 + 0 + 5 + 8 + 3 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 28079899108209 + 86449159222416 = 5299047^2 + 9297804^2 .

It is not a de Polignac number, because 114529058330625 - 2¹¹ = 114529058328577 is a prime.

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, 235172604132 + ... + 235172604618.

Almost surely, 2^{114529058330625} is an apocalyptic number.

114529058330625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114529058330625 is the 10701825-th square number.

114529058330625 is the 5350913-rd centered octagonal number.

It is an amenable number.

114529058330625 is a deficient number, since it is larger than the sum of its proper divisors (93328101682878).

114529058330625 is an frugal number, since it uses more digits than its factorization.

114529058330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 114529058330625 in words is "one hundred fourteen trillion, five hundred twenty-nine billion, fifty-eight million, three hundred thirty thousand, six hundred twenty-five".