656161161656 has 192 divisors, whose sum is σ = 1667196172800. Its totient is φ = 235094745600.

The previous prime is 656161161641. The next prime is 656161161659.

656161161656 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 (656161161659) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27992261 + ... + 28015691.

It is an arithmetic number, because the mean of its divisors is an integer number (8683313400).

Almost surely, 2^656161161656 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 656161161656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833598086400).

656161161656 is an abundant number, since it is smaller than the sum of its proper divisors (1011035011144).

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

656161161656 is a wasteful number, since it uses less digits than its factorization.

656161161656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23750 (or 23733 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The spelling of 656161161656 in words is "six hundred fifty-six billion, one hundred sixty-one million, one hundred sixty-one thousand, six hundred fifty-six".