256474929322841 has 2 divisors, whose sum is σ = 256474929322842. Its totient is φ = 256474929322840.

The previous prime is 256474929322793. The next prime is 256474929322889. The reversal of 256474929322841 is 148223929474652.

256474929322841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (256474929322793) and next prime (256474929322889).

It can be written as a sum of positive squares in only one way, i.e., 255419849059600 + 1055080263241 = 15981860^2 + 1027171^2 .

It is a cyclic number.

It is not a de Polignac number, because 256474929322841 - 2¹⁸ = 256474929060697 is a prime.

It is a super-2 number, since 2×256474929322841² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (256474929322541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128237464661420 + 128237464661421.

It is an arithmetic number, because the mean of its divisors is an integer number (128237464661421).

Almost surely, 2^{256474929322841} is an apocalyptic number.

It is an amenable number.

256474929322841 is a deficient number, since it is larger than the sum of its proper divisors (1).

256474929322841 is an equidigital number, since it uses as much as digits as its factorization.

256474929322841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 418037760, while the sum is 68.

The spelling of 256474929322841 in words is "two hundred fifty-six trillion, four hundred seventy-four billion, nine hundred twenty-nine million, three hundred twenty-two thousand, eight hundred forty-one".