115583680576 has 189 divisors, whose sum is σ = 289530544509. Its totient is φ = 45627499008.

The previous prime is 115583680523. The next prime is 115583680579. The reversal of 115583680576 is 675086385511.

The square root of 115583680576 is 339976.

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

It can be written as a sum of positive squares in only one way, i.e., 17098177600 + 98485502976 = 130760^2 + 313824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115583680579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247502295 + ... + 247502761.

Almost surely, 2^115583680576 is an apocalyptic number.

115583680576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115583680576 is the 339976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115583680576

115583680576 is an abundant number, since it is smaller than the sum of its proper divisors (173946863933).

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

115583680576 is an frugal number, since it uses more digits than its factorization.

115583680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 115583680576 in words is "one hundred fifteen billion, five hundred eighty-three million, six hundred eighty thousand, five hundred seventy-six".