656311113656 has 64 divisors (see below), whose sum is σ = 1371363540480. Its totient is φ = 291902222080.

The previous prime is 656311113641. The next prime is 656311113671.

656311113656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (656311113641) and next prime (656311113671).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18416351 + ... + 18451953.

It is an arithmetic number, because the mean of its divisors is an integer number (21427555320).

Almost surely, 2^656311113656 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 656311113656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685681770240).

656311113656 is an abundant number, since it is smaller than the sum of its proper divisors (715052426824).

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

656311113656 is a wasteful number, since it uses less digits than its factorization.

656311113656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40124 (or 40120 counting only the distinct ones).

The product of its digits is 291600, while the sum is 44.

It can be divided in two parts, 656311 and 113656, that added together give a palindrome (769967).

The spelling of 656311113656 in words is "six hundred fifty-six billion, three hundred eleven million, one hundred thirteen thousand, six hundred fifty-six".