456545676217 has 2 divisors, whose sum is σ = 456545676218. Its totient is φ = 456545676216.

The previous prime is 456545676131. The next prime is 456545676241. The reversal of 456545676217 is 712676545654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326447678736 + 130097997481 = 571356^2 + 360691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456545676217 is a prime.

It is not a weakly prime, because it can be changed into another prime (456546676217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228272838108 + 228272838109.

It is an arithmetic number, because the mean of its divisors is an integer number (228272838109).

Almost surely, 2^456545676217 is an apocalyptic number.

It is an amenable number.

456545676217 is a deficient number, since it is larger than the sum of its proper divisors (1).

456545676217 is an equidigital number, since it uses as much as digits as its factorization.

456545676217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336000, while the sum is 58.

The spelling of 456545676217 in words is "four hundred fifty-six billion, five hundred forty-five million, six hundred seventy-six thousand, two hundred seventeen".