456513426656 has 36 divisors (see below), whose sum is σ = 1045497270888. Its totient is φ = 195648610752.

The previous prime is 456513426637. The next prime is 456513426659. The reversal of 456513426656 is 656624315654.

It is a junction number, because it is equal to n+sod(n) for n = 456513426598 and 456513426607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456513426659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145570316 + ... + 145573451.

It is an arithmetic number, because the mean of its divisors is an integer number (29041590858).

Almost surely, 2^456513426656 is an apocalyptic number.

It is an amenable number.

456513426656 is an abundant number, since it is smaller than the sum of its proper divisors (588983844232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456513426656 is a wasteful number, since it uses less digits than its factorization.

456513426656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291143791 (or 291143776 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 53.

The spelling of 456513426656 in words is "four hundred fifty-six billion, five hundred thirteen million, four hundred twenty-six thousand, six hundred fifty-six".