27665336241 has 15 divisors (see below), whose sum is σ = 41329467003. Its totient is φ = 18442559520.

The previous prime is 27665336239. The next prime is 27665336249. The reversal of 27665336241 is 14263356672.

The square root of 27665336241 is 166329.

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

27665336241 is a `hidden beast` number, since 2 + 76 + 6 + 5 + 336 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26153681841 + 1511654400 = 161721^2 + 38880^2 .

It is not a de Polignac number, because 27665336241 - 2¹ = 27665336239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27665336249) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1487721 + ... + 1506201.

Almost surely, 2^27665336241 is an apocalyptic number.

27665336241 is the 166329-th square number.

27665336241 is the 83165-th centered octagonal number.

It is an amenable number.

27665336241 is a deficient number, since it is larger than the sum of its proper divisors (13664130762).

27665336241 is an frugal number, since it uses more digits than its factorization.

27665336241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36974 (or 18484 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 27665336241 in words is "twenty-seven billion, six hundred sixty-five million, three hundred thirty-six thousand, two hundred forty-one".