6458975846417 has 2 divisors, whose sum is σ = 6458975846418. Its totient is φ = 6458975846416.

The previous prime is 6458975846387. The next prime is 6458975846419. The reversal of 6458975846417 is 7146485798546.

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., 6070586388736 + 388389457681 = 2463856^2 + 623209^2 .

It is a cyclic number.

It is not a de Polignac number, because 6458975846417 - 2¹⁴ = 6458975830033 is a prime.

Together with 6458975846419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6458975846419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3229487923208 + 3229487923209.

It is an arithmetic number, because the mean of its divisors is an integer number (3229487923209).

Almost surely, 2^{6458975846417} is an apocalyptic number.

It is an amenable number.

6458975846417 is a deficient number, since it is larger than the sum of its proper divisors (1).

6458975846417 is an equidigital number, since it uses as much as digits as its factorization.

6458975846417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1625702400, while the sum is 74.

The spelling of 6458975846417 in words is "six trillion, four hundred fifty-eight billion, nine hundred seventy-five million, eight hundred forty-six thousand, four hundred seventeen".