115280076764736 has 315 divisors, whose sum is σ = 370067207001393. Its totient is φ = 35467700636160.

The previous prime is 115280076764701. The next prime is 115280076764779. The reversal of 115280076764736 is 637467670082511.

The square root of 115280076764736 is 10736856.

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

115280076764736 is a `hidden beast` number, since 1 + 1 + 5 + 28 + 0 + 0 + 76 + 76 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17053265793600 + 98226810971136 = 4129560^2 + 9910944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10049691481 + ... + 10049702951.

Almost surely, 2^{115280076764736} is an apocalyptic number.

115280076764736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115280076764736 is the 10736856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115280076764736

115280076764736 is an abundant number, since it is smaller than the sum of its proper divisors (254787130236657).

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

115280076764736 is an frugal number, since it uses more digits than its factorization.

115280076764736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22992 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 115280076764736 in words is "one hundred fifteen trillion, two hundred eighty billion, seventy-six million, seven hundred sixty-four thousand, seven hundred thirty-six".