115647763221225 has 297 divisors, whose sum is σ = 220559428941733. Its totient is φ = 60152690370240.

The previous prime is 115647763221173. The next prime is 115647763221251. The reversal of 115647763221225 is 522122367746511.

The square root of 115647763221225 is 10753965.

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

115647763221225 is a `hidden beast` number, since 1 + 1 + 56 + 47 + 7 + 6 + 322 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 871166489769 + 114776596731456 = 933363^2 + 10713384^2 .

It is not a de Polignac number, because 115647763221225 - 2¹³ = 115647763213033 is a prime.

It is a Duffinian number.

Its product of digits (8467200) is a multiple of the sum of its prime factors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 692501576092 + ... + 692501576258.

Almost surely, 2^{115647763221225} is an apocalyptic number.

115647763221225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115647763221225 is the 10753965-th square number.

115647763221225 is the 5376983-rd centered octagonal number.

It is an amenable number.

115647763221225 is a deficient number, since it is larger than the sum of its proper divisors (104911665720508).

115647763221225 is an frugal number, since it uses more digits than its factorization.

115647763221225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 228 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 115647763221225 in words is "one hundred fifteen trillion, six hundred forty-seven billion, seven hundred sixty-three million, two hundred twenty-one thousand, two hundred twenty-five".