115279262784 has 567 divisors, whose sum is σ = 402072251607. Its totient is φ = 31486468608.

The previous prime is 115279262779. The next prime is 115279262809. The reversal of 115279262784 is 487262972511.

The square root of 115279262784 is 339528.

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

115279262784 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 7 + 9 + 2 + 627 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115279262784.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2452750249 + ... + 2452750295.

Almost surely, 2^115279262784 is an apocalyptic number.

115279262784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

115279262784 is the 339528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115279262784

115279262784 is an abundant number, since it is smaller than the sum of its proper divisors (286792988823).

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

115279262784 is an equidigital number, since it uses as much as digits as its factorization.

115279262784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 115279262784 in words is "one hundred fifteen billion, two hundred seventy-nine million, two hundred sixty-two thousand, seven hundred eighty-four".