221360322168 has 144 divisors (see below), whose sum is σ = 648167410800. Its totient is φ = 68197973760.

The previous prime is 221360322119. The next prime is 221360322181. The reversal of 221360322168 is 861223063122.

221360322168 is a `hidden beast` number, since 2 + 2 + 13 + 603 + 22 + 16 + 8 = 666.

221360322168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 961813 + ... + 1169531.

It is an arithmetic number, because the mean of its divisors is an integer number (4501162575).

Almost surely, 2^221360322168 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 221360322168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324083705400).

221360322168 is an abundant number, since it is smaller than the sum of its proper divisors (426807088632).

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

221360322168 is a wasteful number, since it uses less digits than its factorization.

221360322168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207810 (or 207784 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 221360322168 in words is "two hundred twenty-one billion, three hundred sixty million, three hundred twenty-two thousand, one hundred sixty-eight".