656665566656 has 112 divisors (see below), whose sum is σ = 1455951863808. Its totient is φ = 291316147200.

The previous prime is 656665566643. The next prime is 656665566679.

656665566656 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7080521 + ... + 7172663.

Almost surely, 2^656665566656 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 656665566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727975931904).

656665566656 is an abundant number, since it is smaller than the sum of its proper divisors (799286297152).

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

656665566656 is a wasteful number, since it uses less digits than its factorization.

656665566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92410 (or 92400 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 68.

The spelling of 656665566656 in words is "six hundred fifty-six billion, six hundred sixty-five million, five hundred sixty-six thousand, six hundred fifty-six".