14219319744 has 448 divisors, whose sum is σ = 49146439680. Its totient is φ = 3948134400.

The previous prime is 14219319689. The next prime is 14219319761. The reversal of 14219319744 is 44791391241.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14219319744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125834632 + ... + 125834744.

Almost surely, 2^14219319744 is an apocalyptic number.

14219319744 is a gapful number since it is divisible by the number (14) 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 14219319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573219840).

14219319744 is an abundant number, since it is smaller than the sum of its proper divisors (34927119936).

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

14219319744 is a wasteful number, since it uses less digits than its factorization.

14219319744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 14219319744 in words is "fourteen billion, two hundred nineteen million, three hundred nineteen thousand, seven hundred forty-four".