456457288816 has 40 divisors (see below), whose sum is σ = 886025433600. Its totient is φ = 227805791424.

The previous prime is 456457288811. The next prime is 456457288843. The reversal of 456457288816 is 618882754654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456457288811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55886365 + ... + 55894531.

It is an arithmetic number, because the mean of its divisors is an integer number (22150635840).

Almost surely, 2^456457288816 is an apocalyptic number.

It is an amenable number.

456457288816 is a deficient number, since it is larger than the sum of its proper divisors (429568144784).

456457288816 is a wasteful number, since it uses less digits than its factorization.

456457288816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221 (or 14215 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 64.

The spelling of 456457288816 in words is "four hundred fifty-six billion, four hundred fifty-seven million, two hundred eighty-eight thousand, eight hundred sixteen".