656653747356656 has 160 divisors (see below), whose sum is σ = 1497267673164288. Its totient is φ = 273169880755200.

The previous prime is 656653747356647. The next prime is 656653747356689.

656653747356656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 783174551 + ... + 784012553.

Almost surely, 2^{656653747356656} 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 656653747356656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748633836582144).

656653747356656 is an abundant number, since it is smaller than the sum of its proper divisors (840613925807632).

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

656653747356656 is a wasteful number, since it uses less digits than its factorization.

656653747356656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839479 (or 839473 counting only the distinct ones).

The product of its digits is 51438240000, while the sum is 80.

The spelling of 656653747356656 in words is "six hundred fifty-six trillion, six hundred fifty-three billion, seven hundred forty-seven million, three hundred fifty-six thousand, six hundred fifty-six".