115831315600 has 1215 divisors, whose sum is σ = 409297742721. Its totient is φ = 31365734400.

The previous prime is 115831315597. The next prime is 115831315637. The reversal of 115831315600 is 6513138511.

The square root of 115831315600 is 340340.

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

It can be written as a sum of positive squares in 13 ways, for example, as 84357717136 + 31473598464 = 290444^2 + 177408^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6813606792 + ... + 6813606808.

Almost surely, 2^115831315600 is an apocalyptic number.

115831315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115831315600 is the 340340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115831315600

115831315600 is an abundant number, since it is smaller than the sum of its proper divisors (293466427121).

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

115831315600 is a wasteful number, since it uses less digits than its factorization.

115831315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 115831315600 in words is "one hundred fifteen billion, eight hundred thirty-one million, three hundred fifteen thousand, six hundred".