14443124211100 has 144 divisors (see below), whose sum is σ = 34925975219520. Its totient is φ = 5147535052800.

The previous prime is 14443124211067. The next prime is 14443124211107. The reversal of 14443124211100 is 111242134441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443124211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141738769 + ... + 141840631.

It is an arithmetic number, because the mean of its divisors is an integer number (242541494580).

Almost surely, 2^{14443124211100} is an apocalyptic number.

14443124211100 is a gapful number since it is divisible by the number (10) 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 14443124211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462987609760).

14443124211100 is an abundant number, since it is smaller than the sum of its proper divisors (20482851008420).

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

14443124211100 is a wasteful number, since it uses less digits than its factorization.

14443124211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105680 (or 105673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14443124211100 its reverse (111242134441), we get a palindrome (14554366345541).

The spelling of 14443124211100 in words is "fourteen trillion, four hundred forty-three billion, one hundred twenty-four million, two hundred eleven thousand, one hundred".