456400671467393 has 2 divisors, whose sum is σ = 456400671467394. Its totient is φ = 456400671467392.

The previous prime is 456400671467383. The next prime is 456400671467401. The reversal of 456400671467393 is 393764176004654.

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., 248659847178304 + 207740824289089 = 15768952^2 + 14413217^2 .

It is a cyclic number.

It is not a de Polignac number, because 456400671467393 - 2²⁴ = 456400654690177 is a prime.

It is not a weakly prime, because it can be changed into another prime (456400671467383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228200335733696 + 228200335733697.

It is an arithmetic number, because the mean of its divisors is an integer number (228200335733697).

Almost surely, 2^{456400671467393} is an apocalyptic number.

It is an amenable number.

456400671467393 is a deficient number, since it is larger than the sum of its proper divisors (1).

456400671467393 is an equidigital number, since it uses as much as digits as its factorization.

456400671467393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 274337280, while the sum is 65.

The spelling of 456400671467393 in words is "four hundred fifty-six trillion, four hundred billion, six hundred seventy-one million, four hundred sixty-seven thousand, three hundred ninety-three".