456605103601 has 2 divisors, whose sum is σ = 456605103602. Its totient is φ = 456605103600.

The previous prime is 456605103593. The next prime is 456605103623. The reversal of 456605103601 is 106301506654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 424921459600 + 31683644001 = 651860^2 + 177999^2 .

It is a cyclic number.

It is not a de Polignac number, because 456605103601 - 2³ = 456605103593 is a prime.

It is not a weakly prime, because it can be changed into another prime (456605103301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228302551800 + 228302551801.

It is an arithmetic number, because the mean of its divisors is an integer number (228302551801).

Almost surely, 2^456605103601 is an apocalyptic number.

It is an amenable number.

456605103601 is a deficient number, since it is larger than the sum of its proper divisors (1).

456605103601 is an equidigital number, since it uses as much as digits as its factorization.

456605103601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 456605103601 in words is "four hundred fifty-six billion, six hundred five million, one hundred three thousand, six hundred one".