221666414688 has 288 divisors, whose sum is σ = 696842546400. Its totient is φ = 66523742208.

The previous prime is 221666414687. The next prime is 221666414701. The reversal of 221666414688 is 886414666122.

221666414688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×221666414688³ (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221666414681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15469095 + ... + 15483417.

It is an arithmetic number, because the mean of its divisors is an integer number (2419592175).

Almost surely, 2^221666414688 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 221666414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348421273200).

221666414688 is an abundant number, since it is smaller than the sum of its proper divisors (475176131712).

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

221666414688 is a wasteful number, since it uses less digits than its factorization.

221666414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14483 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 221666414688 in words is "two hundred twenty-one billion, six hundred sixty-six million, four hundred fourteen thousand, six hundred eighty-eight".