14442163824 has 160 divisors (see below), whose sum is σ = 42489423360. Its totient is φ = 4187980800.

The previous prime is 14442163811. The next prime is 14442163847. The reversal of 14442163824 is 42836124441.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185637 + ... + 1197755.

It is an arithmetic number, because the mean of its divisors is an integer number (265558896).

Almost surely, 2^14442163824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442163824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244711680).

14442163824 is an abundant number, since it is smaller than the sum of its proper divisors (28047259536).

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

14442163824 is a wasteful number, since it uses less digits than its factorization.

14442163824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239 (or 12233 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 14442163824 in words is "fourteen billion, four hundred forty-two million, one hundred sixty-three thousand, eight hundred twenty-four".