6458975846401 has 16 divisors (see below), whose sum is σ = 7441947365440. Its totient is φ = 5555739481920.

The previous prime is 6458975846387. The next prime is 6458975846417. The reversal of 6458975846401 is 1046485798546.

It is a cyclic number.

It is not a de Polignac number, because 6458975846401 - 2²³ = 6458967457793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6458975846471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214326735 + ... + 214356868.

It is an arithmetic number, because the mean of its divisors is an integer number (465121710340).

Almost surely, 2^{6458975846401} is an apocalyptic number.

6458975846401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6458975846401 is a deficient number, since it is larger than the sum of its proper divisors (982971519039).

6458975846401 is a wasteful number, since it uses less digits than its factorization.

6458975846401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428683696.

The product of its (nonzero) digits is 232243200, while the sum is 67.

The spelling of 6458975846401 in words is "six trillion, four hundred fifty-eight billion, nine hundred seventy-five million, eight hundred forty-six thousand, four hundred one".