14432133012 has 192 divisors, whose sum is σ = 40874803200. Its totient is φ = 3911656320.

The previous prime is 14432133007. The next prime is 14432133019. The reversal of 14432133012 is 21033123441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14432133019) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4555453 + ... + 4558619.

It is an arithmetic number, because the mean of its divisors is an integer number (212889600).

Almost surely, 2^14432133012 is an apocalyptic number.

14432133012 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 14432133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437401600).

14432133012 is an abundant number, since it is smaller than the sum of its proper divisors (26442670188).

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

14432133012 is a wasteful number, since it uses less digits than its factorization.

14432133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14432133012 its reverse (21033123441), we get a palindrome (35465256453).

The spelling of 14432133012 in words is "fourteen billion, four hundred thirty-two million, one hundred thirty-three thousand, twelve".