8256414122381 has 2 divisors, whose sum is σ = 8256414122382. Its totient is φ = 8256414122380.

The previous prime is 8256414122321. The next prime is 8256414122413. The reversal of 8256414122381 is 1832214146528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6637244401225 + 1619169721156 = 2576285^2 + 1272466^2 .

It is a cyclic number.

It is not a de Polignac number, because 8256414122381 - 2¹⁰ = 8256414121357 is a prime.

It is a super-2 number, since 2×8256414122381² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8256414122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4128207061190 + 4128207061191.

It is an arithmetic number, because the mean of its divisors is an integer number (4128207061191).

Almost surely, 2^{8256414122381} is an apocalyptic number.

It is an amenable number.

8256414122381 is a deficient number, since it is larger than the sum of its proper divisors (1).

8256414122381 is an equidigital number, since it uses as much as digits as its factorization.

8256414122381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 737280, while the sum is 47.

The spelling of 8256414122381 in words is "eight trillion, two hundred fifty-six billion, four hundred fourteen million, one hundred twenty-two thousand, three hundred eighty-one".