456546676217 has 2 divisors, whose sum is σ = 456546676218. Its totient is φ = 456546676216.

The previous prime is 456546676207. The next prime is 456546676219. The reversal of 456546676217 is 712676645654.

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., 413939111161 + 42607565056 = 643381^2 + 206416^2 .

It is a cyclic number.

It is not a de Polignac number, because 456546676217 - 2³⁶ = 387827199481 is a prime.

Together with 456546676219, 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 (456546676219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228273338108 + 228273338109.

It is an arithmetic number, because the mean of its divisors is an integer number (228273338109).

Almost surely, 2^456546676217 is an apocalyptic number.

It is an amenable number.

456546676217 is a deficient number, since it is larger than the sum of its proper divisors (1).

456546676217 is an equidigital number, since it uses as much as digits as its factorization.

456546676217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50803200, while the sum is 59.

The spelling of 456546676217 in words is "four hundred fifty-six billion, five hundred forty-six million, six hundred seventy-six thousand, two hundred seventeen".