115647604900 has 81 divisors (see below), whose sum is σ = 259548372867. Its totient is φ = 44726006400.

The previous prime is 115647604873. The next prime is 115647604949. The reversal of 115647604900 is 9406746511.

The square root of 115647604900 is 340070.

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 14721939556 + 100925665344 = 121334^2 + 317688^2 .

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 26 ways as a sum of consecutive naturals, for example, 105421152 + ... + 105422248.

Almost surely, 2^115647604900 is an apocalyptic number.

115647604900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115647604900 is the 340070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115647604900

115647604900 is an abundant number, since it is smaller than the sum of its proper divisors (143900767967).

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

115647604900 is an equidigital number, since it uses as much as digits as its factorization.

115647604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 115647604900 in words is "one hundred fifteen billion, six hundred forty-seven million, six hundred four thousand, nine hundred".