14479319712 has 288 divisors, whose sum is σ = 45492995520. Its totient is φ = 3998891520.

The previous prime is 14479319711. The next prime is 14479319737. The reversal of 14479319712 is 21791397441.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (381024) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (14479319711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183282489 + ... + 183282567.

It is an arithmetic number, because the mean of its divisors is an integer number (157961790).

Almost surely, 2^14479319712 is an apocalyptic number.

14479319712 is a gapful number since it is divisible by the number (12) 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 14479319712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746497760).

14479319712 is an abundant number, since it is smaller than the sum of its proper divisors (31013675808).

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

14479319712 is an equidigital number, since it uses as much as digits as its factorization.

14479319712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 108 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The spelling of 14479319712 in words is "fourteen billion, four hundred seventy-nine million, three hundred nineteen thousand, seven hundred twelve".