656653356656 has 80 divisors (see below), whose sum is σ = 1409019578880. Its totient is φ = 293945034240.

The previous prime is 656653356647. The next prime is 656653356661.

656653356656 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84627305 + ... + 84635063.

It is an arithmetic number, because the mean of its divisors is an integer number (17612744736).

Almost surely, 2^656653356656 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 656653356656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704509789440).

656653356656 is an abundant number, since it is smaller than the sum of its proper divisors (752366222224).

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

656653356656 is a wasteful number, since it uses less digits than its factorization.

656653356656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 15016 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 62.

The spelling of 656653356656 in words is "six hundred fifty-six billion, six hundred fifty-three million, three hundred fifty-six thousand, six hundred fifty-six".