27849268161 has 81 divisors (see below), whose sum is σ = 48002422377. Its totient is φ = 15539958720.

The previous prime is 27849268103. The next prime is 27849268193. The reversal of 27849268161 is 16186294872.

It is a happy number.

The square root of 27849268161 is 166881.

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

27849268161 is a `hidden beast` number, since 2 + 78 + 492 + 6 + 81 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10702937025 + 17146331136 = 103455^2 + 130944^2 .

It is not a de Polignac number, because 27849268161 - 2⁷ = 27849268033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27849268098 and 27849268107.

It is not an unprimeable number, because it can be changed into a prime (27849268261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71591755 + ... + 71592143.

Almost surely, 2^27849268161 is an apocalyptic number.

27849268161 is the 166881-st square number.

27849268161 is the 83441-st centered octagonal number.

It is an amenable number.

27849268161 is a deficient number, since it is larger than the sum of its proper divisors (20153154216).

27849268161 is a wasteful number, since it uses less digits than its factorization.

27849268161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 27849268161 in words is "twenty-seven billion, eight hundred forty-nine million, two hundred sixty-eight thousand, one hundred sixty-one".