14441431200133 has 24 divisors (see below), whose sum is σ = 17803445333400. Its totient is φ = 11639724300288.

The previous prime is 14441431200109. The next prime is 14441431200151. The reversal of 14441431200133 is 33100213414441.

It can be written as a sum of positive squares in 4 ways, for example, as 25262559364 + 14416168640769 = 158942^2 + 3796863^2 .

It is not a de Polignac number, because 14441431200133 - 2³³ = 14432841265541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14441431200095 and 14441431200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441431209133) 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, 6892548 + ... + 8740141.

It is an arithmetic number, because the mean of its divisors is an integer number (741810222225).

Almost surely, 2^{14441431200133} is an apocalyptic number.

It is an amenable number.

14441431200133 is a deficient number, since it is larger than the sum of its proper divisors (3362014133267).

14441431200133 is a wasteful number, since it uses less digits than its factorization.

14441431200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633829 (or 15633822 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 14441431200133 its reverse (33100213414441), we get a palindrome (47541644614574).

The spelling of 14441431200133 in words is "fourteen trillion, four hundred forty-one billion, four hundred thirty-one million, two hundred thousand, one hundred thirty-three".