221443614216 has 384 divisors, whose sum is σ = 703936396800. Its totient is φ = 62181872640.

The previous prime is 221443614187. The next prime is 221443614229. The reversal of 221443614216 is 612416344122.

221443614216 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 436 + 1 + 4 + 216 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133640460 + ... + 133642116.

It is an arithmetic number, because the mean of its divisors is an integer number (1833167700).

Almost surely, 2^221443614216 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 221443614216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351968198400).

221443614216 is an abundant number, since it is smaller than the sum of its proper divisors (482492782584).

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

221443614216 is a wasteful number, since it uses less digits than its factorization.

221443614216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 221443614216 its reverse (612416344122), we get a palindrome (833859958338).

The spelling of 221443614216 in words is "two hundred twenty-one billion, four hundred forty-three million, six hundred fourteen thousand, two hundred sixteen".