456400671470201 has 2 divisors, whose sum is σ = 456400671470202. Its totient is φ = 456400671470200.

The previous prime is 456400671470123. The next prime is 456400671470207. The reversal of 456400671470201 is 102074176004654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434957511253225 + 21443160216976 = 20855635^2 + 4630676^2 .

It is a cyclic number.

It is not a de Polignac number, because 456400671470201 - 2¹⁰ = 456400671469177 is a prime.

It is not a weakly prime, because it can be changed into another prime (456400671470207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228200335735100 + 228200335735101.

It is an arithmetic number, because the mean of its divisors is an integer number (228200335735101).

Almost surely, 2^{456400671470201} is an apocalyptic number.

It is an amenable number.

456400671470201 is a deficient number, since it is larger than the sum of its proper divisors (1).

456400671470201 is an equidigital number, since it uses as much as digits as its factorization.

456400671470201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 456400671470201 in words is "four hundred fifty-six trillion, four hundred billion, six hundred seventy-one million, four hundred seventy thousand, two hundred one".