115287411600 has 135 divisors (see below), whose sum is σ = 400150052913. Its totient is φ = 30737877120.

The previous prime is 115287411581. The next prime is 115287411601. The reversal of 115287411600 is 6114782511.

The square root of 115287411600 is 339540.

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

115287411600 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 7 + 41 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41503468176 + 73783943424 = 203724^2 + 271632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115287411601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20369571 + ... + 20375229.

Almost surely, 2^115287411600 is an apocalyptic number.

115287411600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115287411600 is the 339540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115287411600

115287411600 is an abundant number, since it is smaller than the sum of its proper divisors (284862641313).

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

115287411600 is an frugal number, since it uses more digits than its factorization.

115287411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 115287411600 by its sum of digits (36), we get a square (4150346817600 = 2037240²).

115287411600 divided by its sum of digits (36) gives a square (3202428100 = 56590²).

The spelling of 115287411600 in words is "one hundred fifteen billion, two hundred eighty-seven million, four hundred eleven thousand, six hundred".