27248326920049 has 9 divisors (see below), whose sum is σ = 27328453201857. Its totient is φ = 27168434927184.

The previous prime is 27248326920041. The next prime is 27248326920053. The reversal of 27248326920049 is 94002962384272.

It is a happy number.

The square root of 27248326920049 is 5219993.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6524600625 + 27241802319424 = 80775^2 + 5219368^2 .

It is not a de Polignac number, because 27248326920049 - 2³ = 27248326920041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27248326919975 and 27248326920002.

It is not an unprimeable number, because it can be changed into a prime (27248326920041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1821770079 + ... + 1821785035.

Almost surely, 2^{27248326920049} is an apocalyptic number.

27248326920049 is the 5219993-rd square number.

27248326920049 is the 2609997-th centered octagonal number.

It is an amenable number.

27248326920049 is a deficient number, since it is larger than the sum of its proper divisors (80126281808).

27248326920049 is an frugal number, since it uses more digits than its factorization.

27248326920049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30612 (or 15306 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 27248326920049 in words is "twenty-seven trillion, two hundred forty-eight billion, three hundred twenty-six million, nine hundred twenty thousand, forty-nine".