4567891046417 has 2 divisors, whose sum is σ = 4567891046418. Its totient is φ = 4567891046416.

The previous prime is 4567891046333. The next prime is 4567891046419. The reversal of 4567891046417 is 7146401987654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3036623393281 + 1531267653136 = 1742591^2 + 1237444^2 .

It is a cyclic number.

It is not a de Polignac number, because 4567891046417 - 2¹⁶ = 4567890980881 is a prime.

It is a super-2 number, since 2×4567891046417² (a number of 26 digits) contains 22 as substring.

Together with 4567891046419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4567891046417.

It is not a weakly prime, because it can be changed into another prime (4567891046419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2283945523208 + 2283945523209.

It is an arithmetic number, because the mean of its divisors is an integer number (2283945523209).

Almost surely, 2^{4567891046417} is an apocalyptic number.

It is an amenable number.

4567891046417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4567891046417 is an equidigital number, since it uses as much as digits as its factorization.

4567891046417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 4567891046417 in words is "four trillion, five hundred sixty-seven billion, eight hundred ninety-one million, forty-six thousand, four hundred seventeen".