115864449481225 has 81 divisors (see below), whose sum is σ = 147960067989279. Its totient is φ = 90004555056000.

The previous prime is 115864449481217. The next prime is 115864449481247. The reversal of 115864449481225 is 522184944468511.

The square root of 115864449481225 is 10764035.

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

It can be written as a sum of positive squares in 13 ways, for example, as 102515685750009 + 13348763731216 = 10125003^2 + 3653596^2 .

It is not a de Polignac number, because 115864449481225 - 2³ = 115864449481217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 430722860391 + ... + 430722860659.

Almost surely, 2^{115864449481225} is an apocalyptic number.

115864449481225 is the 10764035-th square number.

115864449481225 is the 5382018-th centered octagonal number.

It is an amenable number.

115864449481225 is a deficient number, since it is larger than the sum of its proper divisors (32095618508054).

115864449481225 is an frugal number, since it uses more digits than its factorization.

115864449481225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 478 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 64.

The spelling of 115864449481225 in words is "one hundred fifteen trillion, eight hundred sixty-four billion, four hundred forty-nine million, four hundred eighty-one thousand, two hundred twenty-five".