27844217204689 has 2 divisors, whose sum is σ = 27844217204690. Its totient is φ = 27844217204688.

The previous prime is 27844217204519. The next prime is 27844217204711. The reversal of 27844217204689 is 98640271244872.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23720474714689 + 4123742490000 = 4870367^2 + 2030700^2 .

It is a cyclic number.

It is not a de Polignac number, because 27844217204689 - 2¹⁵ = 27844217171921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27844217204689.

It is not a weakly prime, because it can be changed into another prime (27844217204789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13922108602344 + 13922108602345.

It is an arithmetic number, because the mean of its divisors is an integer number (13922108602345).

Almost surely, 2^{27844217204689} is an apocalyptic number.

It is an amenable number.

27844217204689 is a deficient number, since it is larger than the sum of its proper divisors (1).

27844217204689 is an equidigital number, since it uses as much as digits as its factorization.

27844217204689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86704128, while the sum is 64.

The spelling of 27844217204689 in words is "twenty-seven trillion, eight hundred forty-four billion, two hundred seventeen million, two hundred four thousand, six hundred eighty-nine".