115338348225 has 45 divisors (see below), whose sum is σ = 213674803507. Its totient is φ = 61505634960.

The previous prime is 115338348217. The next prime is 115338348227. The reversal of 115338348225 is 522843833511.

The square root of 115338348225 is 339615.

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

115338348225 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 383 + 48 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41521805361 + 73816542864 = 203769^2 + 271692^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 115338348225 - 2³ = 115338348217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115338348227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15278902 + ... + 15286448.

Almost surely, 2^115338348225 is an apocalyptic number.

115338348225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115338348225 is the 339615-th square number.

115338348225 is the 169808-th centered octagonal number.

It is an amenable number.

115338348225 is a deficient number, since it is larger than the sum of its proper divisors (98336455282).

115338348225 is an frugal number, since it uses more digits than its factorization.

115338348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116 (or 7555 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 115338348225 in words is "one hundred fifteen billion, three hundred thirty-eight million, three hundred forty-eight thousand, two hundred twenty-five".