22167788669056 has 512 divisors, whose sum is σ = 52006183488000. Its totient is φ = 9373547888640.

The previous prime is 22167788669053. The next prime is 22167788669063. The reversal of 22167788669056 is 65096688776122.

It is a super-4 number, since 4×22167788669056⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22167788669056.

It is not an unprimeable number, because it can be changed into a prime (22167788669053) 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 63 ways as a sum of consecutive naturals, for example, 18125746461 + ... + 18125747683.

It is an arithmetic number, because the mean of its divisors is an integer number (101574577125).

Almost surely, 2^{22167788669056} 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 22167788669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26003091744000).

22167788669056 is an abundant number, since it is smaller than the sum of its proper divisors (29838394818944).

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

22167788669056 is a wasteful number, since it uses less digits than its factorization.

22167788669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 22167788669056 in words is "twenty-two trillion, one hundred sixty-seven billion, seven hundred eighty-eight million, six hundred sixty-nine thousand, fifty-six".