14221416504 has 128 divisors (see below), whose sum is σ = 38150611200. Its totient is φ = 4402022400.

The previous prime is 14221416437. The next prime is 14221416529. The reversal of 14221416504 is 40561412241.

14221416504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19243767 + ... + 19244505.

It is an arithmetic number, because the mean of its divisors is an integer number (298051650).

Almost surely, 2^14221416504 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 14221416504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075305600).

14221416504 is an abundant number, since it is smaller than the sum of its proper divisors (23929194696).

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

14221416504 is a wasteful number, since it uses less digits than its factorization.

14221416504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 14221416504 its reverse (40561412241), we get a palindrome (54782828745).

The spelling of 14221416504 in words is "fourteen billion, two hundred twenty-one million, four hundred sixteen thousand, five hundred four".