456680747153 has 2 divisors, whose sum is σ = 456680747154. Its totient is φ = 456680747152.

The previous prime is 456680747077. The next prime is 456680747177. The reversal of 456680747153 is 351747086654.

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., 282351951424 + 174328795729 = 531368^2 + 417527^2 .

It is a cyclic number.

It is not a de Polignac number, because 456680747153 - 2¹⁶ = 456680681617 is a prime.

It is not a weakly prime, because it can be changed into another prime (456680747183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228340373576 + 228340373577.

It is an arithmetic number, because the mean of its divisors is an integer number (228340373577).

Almost surely, 2^456680747153 is an apocalyptic number.

It is an amenable number.

456680747153 is a deficient number, since it is larger than the sum of its proper divisors (1).

456680747153 is an equidigital number, since it uses as much as digits as its factorization.

456680747153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 456680747153 in words is "four hundred fifty-six billion, six hundred eighty million, seven hundred forty-seven thousand, one hundred fifty-three".