656564465656 has 128 divisors (see below), whose sum is σ = 1374852003840. Its totient is φ = 291433075200.

The previous prime is 656564465617. The next prime is 656564465657.

656564465656 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 (656564465657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769711726 + ... + 769712578.

It is an arithmetic number, because the mean of its divisors is an integer number (10741031280).

Almost surely, 2^656564465656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656564465656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687426001920).

656564465656 is an abundant number, since it is smaller than the sum of its proper divisors (718287538184).

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

656564465656 is a wasteful number, since it uses less digits than its factorization.

656564465656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 64.

The spelling of 656564465656 in words is "six hundred fifty-six billion, five hundred sixty-four million, four hundred sixty-five thousand, six hundred fifty-six".