27655637742449 has 2 divisors, whose sum is σ = 27655637742450. Its totient is φ = 27655637742448.

The previous prime is 27655637742379. The next prime is 27655637742541. The reversal of 27655637742449 is 94424773655672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23732096833600 + 3923540908849 = 4871560^2 + 1980793^2 .

It is a cyclic number.

It is not a de Polignac number, because 27655637742449 - 2⁴⁴ = 10063451698033 is a prime.

It is not a weakly prime, because it can be changed into another prime (27655637742949) 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 as a sum of consecutive naturals, namely, 13827818871224 + 13827818871225.

It is an arithmetic number, because the mean of its divisors is an integer number (13827818871225).

Almost surely, 2^{27655637742449} is an apocalyptic number.

It is an amenable number.

27655637742449 is a deficient number, since it is larger than the sum of its proper divisors (1).

27655637742449 is an equidigital number, since it uses as much as digits as its factorization.

27655637742449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2133734400, while the sum is 71.

The spelling of 27655637742449 in words is "twenty-seven trillion, six hundred fifty-five billion, six hundred thirty-seven million, seven hundred forty-two thousand, four hundred forty-nine".