14221665216 has 168 divisors, whose sum is σ = 44718933168. Its totient is φ = 4285440000.

The previous prime is 14221665209. The next prime is 14221665217. The reversal of 14221665216 is 61256612241.

14221665216 is a `hidden beast` number, since 1 + 422 + 16 + 6 + 5 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221665217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140616 + ... + 1153016.

It is an arithmetic number, because the mean of its divisors is an integer number (266184126).

Almost surely, 2^14221665216 is an apocalyptic number.

14221665216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359466584).

14221665216 is an abundant number, since it is smaller than the sum of its proper divisors (30497267952).

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

14221665216 is a wasteful number, since it uses less digits than its factorization.

14221665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611 (or 12598 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 14221665216 in words is "fourteen billion, two hundred twenty-one million, six hundred sixty-five thousand, two hundred sixteen".