456706754558713 has 2 divisors, whose sum is σ = 456706754558714. Its totient is φ = 456706754558712.

The previous prime is 456706754558701. The next prime is 456706754558771. The reversal of 456706754558713 is 317855457607654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281529035495929 + 175177719062784 = 16778827^2 + 13235472^2 .

It is a cyclic number.

It is not a de Polignac number, because 456706754558713 - 2¹³ = 456706754550521 is a prime.

It is not a weakly prime, because it can be changed into another prime (456706754558113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228353377279356 + 228353377279357.

It is an arithmetic number, because the mean of its divisors is an integer number (228353377279357).

Almost surely, 2^{456706754558713} is an apocalyptic number.

It is an amenable number.

456706754558713 is a deficient number, since it is larger than the sum of its proper divisors (1).

456706754558713 is an equidigital number, since it uses as much as digits as its factorization.

456706754558713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2963520000, while the sum is 73.

The spelling of 456706754558713 in words is "four hundred fifty-six trillion, seven hundred six billion, seven hundred fifty-four million, five hundred fifty-eight thousand, seven hundred thirteen".