14157473344 has 224 divisors, whose sum is σ = 35434828800. Its totient is φ = 5475133440.

The previous prime is 14157473243. The next prime is 14157473357. The reversal of 14157473344 is 44337475141.

14157473344 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 self number, because there is not a number n which added to its sum of digits gives 14157473344.

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, 20488039 + ... + 20488729.

It is an arithmetic number, because the mean of its divisors is an integer number (158191200).

Almost surely, 2^14157473344 is an apocalyptic number.

14157473344 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 14157473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717414400).

14157473344 is an abundant number, since it is smaller than the sum of its proper divisors (21277355456).

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

14157473344 is a wasteful number, since it uses less digits than its factorization.

14157473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its digits is 564480, while the sum is 43.

The spelling of 14157473344 in words is "fourteen billion, one hundred fifty-seven million, four hundred seventy-three thousand, three hundred forty-four".