14165441472 has 224 divisors, whose sum is σ = 46888221184. Its totient is φ = 3674419200.

The previous prime is 14165441461. The next prime is 14165441491. The reversal of 14165441472 is 27414456141.

14165441472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14165441472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059147 + ... + 1072437.

It is an arithmetic number, because the mean of its divisors is an integer number (209322416).

Almost surely, 2^14165441472 is an apocalyptic number.

14165441472 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 14165441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444110592).

14165441472 is an abundant number, since it is smaller than the sum of its proper divisors (32722779712).

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

14165441472 is a wasteful number, since it uses less digits than its factorization.

14165441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387 (or 13377 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The spelling of 14165441472 in words is "fourteen billion, one hundred sixty-five million, four hundred forty-one thousand, four hundred seventy-two".