115507236226257 has 24 divisors (see below), whose sum is σ = 174961362412200. Its totient is φ = 73330999273728.

The previous prime is 115507236226243. The next prime is 115507236226267. The reversal of 115507236226257 is 752622632705511.

115507236226257 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 0 + 7 + 2 + 3 + 6 + 2 + 2 + 625 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36831595761216 + 78675640465041 = 6068904^2 + 8869929^2 .

It is not a de Polignac number, because 115507236226257 - 2¹⁴ = 115507236209873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115507236226267) 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 23 ways as a sum of consecutive naturals, for example, 3031189582 + ... + 3031227687.

It is an arithmetic number, because the mean of its divisors is an integer number (7290056767175).

Almost surely, 2^{115507236226257} is an apocalyptic number.

It is an amenable number.

115507236226257 is a deficient number, since it is larger than the sum of its proper divisors (59454126185943).

115507236226257 is a wasteful number, since it uses less digits than its factorization.

115507236226257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062417377 (or 6062417374 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 115507236226257 in words is "one hundred fifteen trillion, five hundred seven billion, two hundred thirty-six million, two hundred twenty-six thousand, two hundred fifty-seven".