456312434177 has 2 divisors, whose sum is σ = 456312434178. Its totient is φ = 456312434176.

The previous prime is 456312434161. The next prime is 456312434183. The reversal of 456312434177 is 771434213654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241823963536 + 214488470641 = 491756^2 + 463129^2 .

It is a cyclic number.

It is not a de Polignac number, because 456312434177 - 2⁴ = 456312434161 is a prime.

It is not a weakly prime, because it can be changed into another prime (456312434197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228156217088 + 228156217089.

It is an arithmetic number, because the mean of its divisors is an integer number (228156217089).

Almost surely, 2^456312434177 is an apocalyptic number.

It is an amenable number.

456312434177 is a deficient number, since it is larger than the sum of its proper divisors (1).

456312434177 is an equidigital number, since it uses as much as digits as its factorization.

456312434177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1693440, while the sum is 47.

The spelling of 456312434177 in words is "four hundred fifty-six billion, three hundred twelve million, four hundred thirty-four thousand, one hundred seventy-seven".