6458967457793 has 2 divisors, whose sum is σ = 6458967457794. Its totient is φ = 6458967457792.

The previous prime is 6458967457777. The next prime is 6458967457799. The reversal of 6458967457793 is 3977547698546.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5982050147329 + 476917310464 = 2445823^2 + 690592^2 .

It is a cyclic number.

It is not a de Polignac number, because 6458967457793 - 2⁴ = 6458967457777 is a prime.

It is not a weakly prime, because it can be changed into another prime (6458967457799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3229483728896 + 3229483728897.

It is an arithmetic number, because the mean of its divisors is an integer number (3229483728897).

Almost surely, 2^{6458967457793} is an apocalyptic number.

It is an amenable number.

6458967457793 is a deficient number, since it is larger than the sum of its proper divisors (1).

6458967457793 is an equidigital number, since it uses as much as digits as its factorization.

6458967457793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9601804800, while the sum is 80.

The spelling of 6458967457793 in words is "six trillion, four hundred fifty-eight billion, nine hundred sixty-seven million, four hundred fifty-seven thousand, seven hundred ninety-three".