14133441504 has 384 divisors, whose sum is σ = 49197818880. Its totient is φ = 3446636544.

The previous prime is 14133441449. The next prime is 14133441533. The reversal of 14133441504 is 40514433141.

14133441504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8761402 + ... + 8763014.

It is an arithmetic number, because the mean of its divisors is an integer number (128119320).

Almost surely, 2^14133441504 is an apocalyptic number.

14133441504 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 14133441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598909440).

14133441504 is an abundant number, since it is smaller than the sum of its proper divisors (35064377376).

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

14133441504 is a wasteful number, since it uses less digits than its factorization.

14133441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14133441504 its reverse (40514433141), we get a palindrome (54647874645).

The spelling of 14133441504 in words is "fourteen billion, one hundred thirty-three million, four hundred forty-one thousand, five hundred four".