27274955386849 has 9 divisors (see below), whose sum is σ = 27314992575507. Its totient is φ = 27234976820184.

The previous prime is 27274955386841. The next prime is 27274955386859. The reversal of 27274955386849 is 94868355947272.

The square root of 27274955386849 is 5222543.

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

It can be written as a sum of positive squares in only one way, i.e., 16850245059025 + 10424710327824 = 4104905^2 + 3228732^2 .

It is not a de Polignac number, because 27274955386849 - 2³ = 27274955386841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27274955386841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3953461602 + ... + 3953468500.

Almost surely, 2^{27274955386849} is an apocalyptic number.

27274955386849 is the 5222543-rd square number.

27274955386849 is the 2611272-nd centered octagonal number.

It is an amenable number.

27274955386849 is a deficient number, since it is larger than the sum of its proper divisors (40037188658).

27274955386849 is an frugal number, since it uses more digits than its factorization.

27274955386849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15312 (or 7656 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 79.

The spelling of 27274955386849 in words is "twenty-seven trillion, two hundred seventy-four billion, nine hundred fifty-five million, three hundred eighty-six thousand, eight hundred forty-nine".