84564257567 has 2 divisors, whose sum is σ = 84564257568. Its totient is φ = 84564257566.

The previous prime is 84564257507. The next prime is 84564257623. The reversal of 84564257567 is 76575246548.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 84564257567 - 2¹² = 84564253471 is a prime.

It is a super-2 number, since 2×84564257567² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84564257507) 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, 42282128783 + 42282128784.

It is an arithmetic number, because the mean of its divisors is an integer number (42282128784).

Almost surely, 2^84564257567 is an apocalyptic number.

84564257567 is a deficient number, since it is larger than the sum of its proper divisors (1).

84564257567 is an equidigital number, since it uses as much as digits as its factorization.

84564257567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448000, while the sum is 59.

The spelling of 84564257567 in words is "eighty-four billion, five hundred sixty-four million, two hundred fifty-seven thousand, five hundred sixty-seven".