256822742834849 has 2 divisors, whose sum is σ = 256822742834850. Its totient is φ = 256822742834848.

The previous prime is 256822742834741. The next prime is 256822742834863. The reversal of 256822742834849 is 948438247228652.

256822742834849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210501447134224 + 46321295700625 = 14508668^2 + 6805975^2 .

It is a cyclic number.

It is not a de Polignac number, because 256822742834849 - 2²⁴ = 256822726057633 is a prime.

It is not a weakly prime, because it can be changed into another prime (256822702834849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128411371417424 + 128411371417425.

It is an arithmetic number, because the mean of its divisors is an integer number (128411371417425).

Almost surely, 2^{256822742834849} is an apocalyptic number.

It is an amenable number.

256822742834849 is a deficient number, since it is larger than the sum of its proper divisors (1).

256822742834849 is an equidigital number, since it uses as much as digits as its factorization.

256822742834849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2972712960, while the sum is 74.

The spelling of 256822742834849 in words is "two hundred fifty-six trillion, eight hundred twenty-two billion, seven hundred forty-two million, eight hundred thirty-four thousand, eight hundred forty-nine".