2221188688656 has 640 divisors, whose sum is σ = 7797180313600. Its totient is φ = 598705841664.

The previous prime is 2221188688643. The next prime is 2221188688661. The reversal of 2221188688656 is 6568868811222.

It is a super-2 number, since 2×2221188688656² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2221188688593 and 2221188688602.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1289139411 + ... + 1289141133.

It is an arithmetic number, because the mean of its divisors is an integer number (12183094240).

Almost surely, 2^{2221188688656} 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 2221188688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898590156800).

2221188688656 is an abundant number, since it is smaller than the sum of its proper divisors (5575991624944).

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

2221188688656 is a wasteful number, since it uses less digits than its factorization.

2221188688656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2031 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 2221188688656 in words is "two trillion, two hundred twenty-one billion, one hundred eighty-eight million, six hundred eighty-eight thousand, six hundred fifty-six".