220668103656 has 1152 divisors, whose sum is σ = 857240966400. Its totient is φ = 52040102400.

The previous prime is 220668103627. The next prime is 220668103673. The reversal of 220668103656 is 656301866022.

220668103656 is a `hidden beast` number, since 2 + 206 + 6 + 81 + 0 + 365 + 6 = 666.

It is a super-2 number, since 2×220668103656² (a number of 23 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 3617509866 + ... + 3617509926.

Almost surely, 2^220668103656 is an apocalyptic number.

220668103656 is a gapful number since it is divisible by the number (26) 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 220668103656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428620483200).

220668103656 is an abundant number, since it is smaller than the sum of its proper divisors (636572862744).

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

220668103656 is a wasteful number, since it uses less digits than its factorization.

220668103656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 220668103656 its reverse (656301866022), we get a palindrome (876969969678).

The spelling of 220668103656 in words is "two hundred twenty billion, six hundred sixty-eight million, one hundred three thousand, six hundred fifty-six".