27473144039289 has 189 divisors, whose sum is σ = 45347074962903. Its totient is φ = 16629170897664.

The previous prime is 27473144039171. The next prime is 27473144039291. The reversal of 27473144039289 is 98293044137472.

The square root of 27473144039289 is 5241483.

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

27473144039289 is a `hidden beast` number, since 2 + 7 + 4 + 7 + 314 + 4 + 0 + 39 + 289 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 16472777816889 + 11000366222400 = 4058667^2 + 3316680^2 .

It is not a de Polignac number, because 27473144039289 - 2¹⁵ = 27473144006521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27473144039389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 200533898029 + ... + 200533898165.

Almost surely, 2^{27473144039289} is an apocalyptic number.

27473144039289 is the 5241483-rd square number.

27473144039289 is the 2620742-nd centered octagonal number.

It is an amenable number.

27473144039289 is a deficient number, since it is larger than the sum of its proper divisors (17873930923614).

27473144039289 is an frugal number, since it uses more digits than its factorization.

27473144039289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 27473144039289 in words is "twenty-seven trillion, four hundred seventy-three billion, one hundred forty-four million, thirty-nine thousand, two hundred eighty-nine".