115297256374336 has 189 divisors, whose sum is σ = 245008823205783. Its totient is φ = 53829158046720.

The previous prime is 115297256374331. The next prime is 115297256374369. The reversal of 115297256374336 is 633473652792511.

The square root of 115297256374336 is 10737656.

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 21403947073600 + 93893309300736 = 4626440^2 + 9689856^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (115297256374331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77225221206 + ... + 77225222698.

Almost surely, 2^{115297256374336} is an apocalyptic number.

115297256374336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115297256374336 is the 10737656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115297256374336

115297256374336 is an abundant number, since it is smaller than the sum of its proper divisors (129711566831447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115297256374336 is an frugal number, since it uses more digits than its factorization.

115297256374336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 1555 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 64.

115297256374336 divided by its sum of digits (64) gives a square (1801519630849 = 1342207²).

The spelling of 115297256374336 in words is "one hundred fifteen trillion, two hundred ninety-seven billion, two hundred fifty-six million, three hundred seventy-four thousand, three hundred thirty-six".