14144142012 has 288 divisors, whose sum is σ = 45422415360. Its totient is φ = 3325271040.

The previous prime is 14144142007. The next prime is 14144142029. The reversal of 14144142012 is 21024144141.

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 95 ways as a sum of consecutive naturals, for example, 8275414 + ... + 8277122.

It is an arithmetic number, because the mean of its divisors is an integer number (157716720).

Almost surely, 2^14144142012 is an apocalyptic number.

14144142012 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 14144142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22711207680).

14144142012 is an abundant number, since it is smaller than the sum of its proper divisors (31278273348).

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

14144142012 is a wasteful number, since it uses less digits than its factorization.

14144142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14144142012 its reverse (21024144141), we get a palindrome (35168286153).

The spelling of 14144142012 in words is "fourteen billion, one hundred forty-four million, one hundred forty-two thousand, twelve".