115459645396225 has 27 divisors (see below), whose sum is σ = 155031131503209. Its totient is φ = 85261991599200.

The previous prime is 115459645396219. The next prime is 115459645396243. The reversal of 115459645396225 is 522693546954511.

The square root of 115459645396225 is 10745215.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29759894399169 + 85699750997056 = 5455263^2 + 9257416^2 .

It is not a de Polignac number, because 115459645396225 - 2¹³ = 115459645388033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 698356320 + ... + 698521630.

Almost surely, 2^{115459645396225} is an apocalyptic number.

115459645396225 is the 10745215-th square number.

115459645396225 is the 5372608-th centered octagonal number.

It is an amenable number.

115459645396225 is a deficient number, since it is larger than the sum of its proper divisors (39571486106984).

115459645396225 is an frugal number, since it uses more digits than its factorization.

115459645396225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330658 (or 165329 counting only the distinct ones).

The product of its digits is 349920000, while the sum is 67.

The spelling of 115459645396225 in words is "one hundred fifteen trillion, four hundred fifty-nine billion, six hundred forty-five million, three hundred ninety-six thousand, two hundred twenty-five".