656534435656 has 64 divisors (see below), whose sum is σ = 1379416469760. Its totient is φ = 290352192000.

The previous prime is 656534435591. The next prime is 656534435657.

656534435656 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 656534435656.

It is not an unprimeable number, because it can be changed into a prime (656534435657) by changing a digit.

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, 1076226 + ... + 1572046.

It is an arithmetic number, because the mean of its divisors is an integer number (21553382340).

Almost surely, 2^656534435656 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 656534435656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689708234880).

656534435656 is an abundant number, since it is smaller than the sum of its proper divisors (722882034104).

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

656534435656 is a wasteful number, since it uses less digits than its factorization.

656534435656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496246 (or 496242 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 58.

The spelling of 656534435656 in words is "six hundred fifty-six billion, five hundred thirty-four million, four hundred thirty-five thousand, six hundred fifty-six".