14414105216 has 128 divisors (see below), whose sum is σ = 33970667520. Its totient is φ = 5961600000.

The previous prime is 14414105203. The next prime is 14414105243. The reversal of 14414105216 is 61250141441.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19192841 + ... + 19193591.

It is an arithmetic number, because the mean of its divisors is an integer number (265395840).

Almost surely, 2^14414105216 is an apocalyptic number.

14414105216 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 14414105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985333760).

14414105216 is an abundant number, since it is smaller than the sum of its proper divisors (19556562304).

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

14414105216 is an equidigital number, since it uses as much as digits as its factorization.

14414105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 14414105216 its reverse (61250141441), we get a palindrome (75664246657).

The spelling of 14414105216 in words is "fourteen billion, four hundred fourteen million, one hundred five thousand, two hundred sixteen".