6414142414157 has 2 divisors, whose sum is σ = 6414142414158. Its totient is φ = 6414142414156.

The previous prime is 6414142414139. The next prime is 6414142414159. The reversal of 6414142414157 is 7514142414146.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4587011676361 + 1827130737796 = 2141731^2 + 1351714^2 .

It is a cyclic number.

It is not a de Polignac number, because 6414142414157 - 2⁸ = 6414142413901 is a prime.

It is a super-2 number, since 2×6414142414157² (a number of 26 digits) contains 22 as substring.

Together with 6414142414159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6414142414159) 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, 3207071207078 + 3207071207079.

It is an arithmetic number, because the mean of its divisors is an integer number (3207071207079).

Almost surely, 2^{6414142414157} is an apocalyptic number.

It is an amenable number.

6414142414157 is a deficient number, since it is larger than the sum of its proper divisors (1).

6414142414157 is an equidigital number, since it uses as much as digits as its factorization.

6414142414157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 430080, while the sum is 44.

The spelling of 6414142414157 in words is "six trillion, four hundred fourteen billion, one hundred forty-two million, four hundred fourteen thousand, one hundred fifty-seven".