14442505616 has 160 divisors (see below), whose sum is σ = 35637719040. Its totient is φ = 5507251200.

The previous prime is 14442505579. The next prime is 14442505643. The reversal of 14442505616 is 61650524441.

It is a happy number.

14442505616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14442505616.

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, 11731721 + ... + 11732951.

It is an arithmetic number, because the mean of its divisors is an integer number (222735744).

Almost surely, 2^14442505616 is an apocalyptic number.

14442505616 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 14442505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818859520).

14442505616 is an abundant number, since it is smaller than the sum of its proper divisors (21195213424).

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

14442505616 is a wasteful number, since it uses less digits than its factorization.

14442505616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 14442505616 in words is "fourteen billion, four hundred forty-two million, five hundred five thousand, six hundred sixteen".