27491961249 has 81 divisors (see below), whose sum is σ = 43596446803. Its totient is φ = 17334127008.

The previous prime is 27491961239. The next prime is 27491961293. The reversal of 27491961249 is 94216919472.

The square root of 27491961249 is 165807.

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

27491961249 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 19 + 612 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5279039649 + 22212921600 = 72657^2 + 149040^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2^k-27491961249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27491961195 and 27491961204.

It is not an unprimeable number, because it can be changed into a prime (27491961209) 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, 308898397 + ... + 308898485.

Almost surely, 2^27491961249 is an apocalyptic number.

27491961249 is the 165807-th square number.

27491961249 is the 82904-th centered octagonal number.

It is an amenable number.

27491961249 is a deficient number, since it is larger than the sum of its proper divisors (16104485554).

27491961249 is an frugal number, since it uses more digits than its factorization.

27491961249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 27491961249 in words is "twenty-seven billion, four hundred ninety-one million, nine hundred sixty-one thousand, two hundred forty-nine".