14819000320 has 80 divisors (see below), whose sum is σ = 35571858300. Its totient is φ = 5926551552.

The previous prime is 14819000293. The next prime is 14819000321. The reversal of 14819000320 is 2300091841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14724366336 + 94633984 = 121344^2 + 9728^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14819000321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2618614 + ... + 2624266.

Almost surely, 2^14819000320 is an apocalyptic number.

14819000320 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 14819000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785929150).

14819000320 is an abundant number, since it is smaller than the sum of its proper divisors (20752857980).

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

14819000320 is an frugal number, since it uses more digits than its factorization.

14819000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 14819000320 in words is "fourteen billion, eight hundred nineteen million, three hundred twenty", and thus it is an aban number.