8114586561 has 15 divisors (see below), whose sum is σ = 12123001011. Its totient is φ = 5409183888.

The previous prime is 8114586547. The next prime is 8114586563. The reversal of 8114586561 is 1656854118.

The square root of 8114586561 is 90081.

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

8114586561 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 5 + 86 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8085426561 + 29160000 = 89919^2 + 5400^2 .

It is not a de Polignac number, because 8114586561 - 2¹⁹ = 8114062273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8114586563) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 805725 + ... + 815733.

Almost surely, 2^8114586561 is an apocalyptic number.

8114586561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8114586561 is the 90081-st square number.

8114586561 is the 45041-st centered octagonal number.

It is an amenable number.

8114586561 is a deficient number, since it is larger than the sum of its proper divisors (4008414450).

8114586561 is an frugal number, since it uses more digits than its factorization.

8114586561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20030 (or 10012 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The cubic root of 8114586561 is about 2009.5036488820.

The spelling of 8114586561 in words is "eight billion, one hundred fourteen million, five hundred eighty-six thousand, five hundred sixty-one".