14102032224 has 144 divisors (see below), whose sum is σ = 43138884096. Its totient is φ = 4021920000.

The previous prime is 14102032213. The next prime is 14102032229. The reversal of 14102032224 is 42223020141.

14102032224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 14102032224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102032229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2965849 + ... + 2970599.

It is an arithmetic number, because the mean of its divisors is an integer number (299575584).

Almost surely, 2^14102032224 is an apocalyptic number.

14102032224 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 14102032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569442048).

14102032224 is an abundant number, since it is smaller than the sum of its proper divisors (29036851872).

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

14102032224 is a wasteful number, since it uses less digits than its factorization.

14102032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14102032224 its reverse (42223020141), we get a palindrome (56325052365).

The spelling of 14102032224 in words is "fourteen billion, one hundred two million, thirty-two thousand, two hundred twenty-four".