14228816616 has 256 divisors, whose sum is σ = 46759680000. Its totient is φ = 3924619776.

The previous prime is 14228816611. The next prime is 14228816617. The reversal of 14228816616 is 61661882241.

It is a happy number.

14228816616 is a `hidden beast` number, since 1 + 4 + 2 + 28 + 8 + 1 + 6 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14228816611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5785195 + ... + 5787653.

It is an arithmetic number, because the mean of its divisors is an integer number (182655000).

Almost surely, 2^14228816616 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 14228816616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379840000).

14228816616 is an abundant number, since it is smaller than the sum of its proper divisors (32530863384).

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

14228816616 is a wasteful number, since it uses less digits than its factorization.

14228816616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2603 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 14228816616 in words is "fourteen billion, two hundred twenty-eight million, eight hundred sixteen thousand, six hundred sixteen".