656048808840656 has 160 divisors (see below), whose sum is σ = 1669130656896000. Its totient is φ = 242008079754240.

The previous prime is 656048808840629. The next prime is 656048808840679.

656048808840656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31522196 + ... + 48018188.

It is an arithmetic number, because the mean of its divisors is an integer number (10432066605600).

Almost surely, 2^{656048808840656} 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 656048808840656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834565328448000).

656048808840656 is an abundant number, since it is smaller than the sum of its proper divisors (1013081848055344).

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

656048808840656 is a wasteful number, since it uses less digits than its factorization.

656048808840656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497737 (or 16497731 counting only the distinct ones).

The product of its (nonzero) digits is 2123366400, while the sum is 74.

The spelling of 656048808840656 in words is "six hundred fifty-six trillion, forty-eight billion, eight hundred eight million, eight hundred forty thousand, six hundred fifty-six".