67414407341257 has 2 divisors, whose sum is σ = 67414407341258. Its totient is φ = 67414407341256.

The previous prime is 67414407341167. The next prime is 67414407341299. The reversal of 67414407341257 is 75214370441476.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66488547710601 + 925859630656 = 8154051^2 + 962216^2 .

It is a cyclic number.

It is not a de Polignac number, because 67414407341257 - 2¹⁹ = 67414406816969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67414407341198 and 67414407341207.

It is not a weakly prime, because it can be changed into another prime (67414407371257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33707203670628 + 33707203670629.

It is an arithmetic number, because the mean of its divisors is an integer number (33707203670629).

Almost surely, 2^{67414407341257} is an apocalyptic number.

It is an amenable number.

67414407341257 is a deficient number, since it is larger than the sum of its proper divisors (1).

67414407341257 is an equidigital number, since it uses as much as digits as its factorization.

67414407341257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15805440, while the sum is 55.

The spelling of 67414407341257 in words is "sixty-seven trillion, four hundred fourteen billion, four hundred seven million, three hundred forty-one thousand, two hundred fifty-seven".