656622226656 has 192 divisors, whose sum is σ = 2098463189760. Its totient is φ = 198099233280.

The previous prime is 656622226651. The next prime is 656622226657.

656622226656 is a `hidden beast` number, since 6 + 5 + 6 + 622 + 2 + 2 + 6 + 6 + 5 + 6 = 666.

656622226656 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×656622226656³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656622226651) 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 31 ways as a sum of consecutive naturals, for example, 2005230 + ... + 2309586.

It is an arithmetic number, because the mean of its divisors is an integer number (10929495780).

Almost surely, 2^656622226656 is an apocalyptic number.

656622226656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656622226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049231594880).

656622226656 is an abundant number, since it is smaller than the sum of its proper divisors (1441840963104).

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

656622226656 is a wasteful number, since it uses less digits than its factorization.

656622226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304614 (or 304600 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

It can be divided in two parts, 6566 and 22226656, that added together give a palindrome (22233222).

The spelling of 656622226656 in words is "six hundred fifty-six billion, six hundred twenty-two million, two hundred twenty-six thousand, six hundred fifty-six".