14216320000 has 220 divisors, whose sum is σ = 36034855780. Its totient is φ = 5603328000.

The previous prime is 14216319947. The next prime is 14216320003. The reversal of 14216320000 is 2361241.

It can be written as a sum of positive squares in 10 ways, for example, as 7806075904 + 6410244096 = 88352^2 + 80064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14216320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14216320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62079886 + ... + 62080114.

It is an arithmetic number, because the mean of its divisors is an integer number (163794799).

Almost surely, 2^14216320000 is an apocalyptic number.

14216320000 is a gapful number since it is divisible by the number (10) 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 14216320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017427890).

14216320000 is an abundant number, since it is smaller than the sum of its proper divisors (21818535780).

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

14216320000 is an frugal number, since it uses more digits than its factorization.

14216320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14216320000 its reverse (2361241), we get a palindrome (14218681241).

The spelling of 14216320000 in words is "fourteen billion, two hundred sixteen million, three hundred twenty thousand".