27669328281 has 45 divisors (see below), whose sum is σ = 47020318761. Its totient is φ = 15633392544.

The previous prime is 27669328261. The next prime is 27669328327. The reversal of 27669328281 is 18282396672.

The square root of 27669328281 is 166341.

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

27669328281 is a `hidden beast` number, since 276 + 6 + 93 + 2 + 8 + 281 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10497846681 + 17171481600 = 102459^2 + 131040^2 .

It is not a de Polignac number, because 27669328281 - 2⁷ = 27669328153 is a prime.

It is a super-2 number, since 2×27669328281² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27669328261) 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 44 ways as a sum of consecutive naturals, for example, 310891285 + ... + 310891373.

Almost surely, 2^27669328281 is an apocalyptic number.

27669328281 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27669328281 is the 166341-st square number.

27669328281 is the 83171-st centered octagonal number.

It is an amenable number.

27669328281 is a deficient number, since it is larger than the sum of its proper divisors (19350990480).

27669328281 is an frugal number, since it uses more digits than its factorization.

27669328281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 99 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 27669328281 in words is "twenty-seven billion, six hundred sixty-nine million, three hundred twenty-eight thousand, two hundred eighty-one".