456628545826654 has 64 divisors (see below), whose sum is σ = 695751018842880. Its totient is φ = 224743780915200.

The previous prime is 456628545826639. The next prime is 456628545826657.

456628545826654 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456628545826657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72746300164 + ... + 72746306440.

It is an arithmetic number, because the mean of its divisors is an integer number (10871109669420).

Almost surely, 2^{456628545826654} is an apocalyptic number.

456628545826654 is a deficient number, since it is larger than the sum of its proper divisors (239122473016226).

456628545826654 is a wasteful number, since it uses less digits than its factorization.

456628545826654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9605.

The product of its digits is 13271040000, while the sum is 76.

The spelling of 456628545826654 in words is "four hundred fifty-six trillion, six hundred twenty-eight billion, five hundred forty-five million, eight hundred twenty-six thousand, six hundred fifty-four".