115364385325359 has 96 divisors (see below), whose sum is σ = 180893222535168. Its totient is φ = 70636892040000.

The previous prime is 115364385325337. The next prime is 115364385325367. The reversal of 115364385325359 is 953523583463511.

115364385325359 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 6 + 43 + 8 + 53 + 2 + 535 + 9 = 666.

It is not a de Polignac number, because 115364385325359 - 2¹⁵ = 115364385292591 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115364385325296 and 115364385325305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115364385335359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8210396884 + ... + 8210410934.

It is an arithmetic number, because the mean of its divisors is an integer number (1884304401408).

Almost surely, 2^{115364385325359} is an apocalyptic number.

115364385325359 is a deficient number, since it is larger than the sum of its proper divisors (65528837209809).

115364385325359 is a wasteful number, since it uses less digits than its factorization.

115364385325359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24009 (or 24006 counting only the distinct ones).

The product of its digits is 174960000, while the sum is 63.

The spelling of 115364385325359 in words is "one hundred fifteen trillion, three hundred sixty-four billion, three hundred eighty-five million, three hundred twenty-five thousand, three hundred fifty-nine".