14331461144 has 128 divisors (see below), whose sum is σ = 36312192000. Its totient is φ = 5120893440.

The previous prime is 14331461129. The next prime is 14331461173. The reversal of 14331461144 is 44116413341.

14331461144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14331461144.

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 31 ways as a sum of consecutive naturals, for example, 1251557 + ... + 1262955.

It is an arithmetic number, because the mean of its divisors is an integer number (283689000).

Almost surely, 2^14331461144 is an apocalyptic number.

14331461144 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 14331461144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156096000).

14331461144 is an abundant number, since it is smaller than the sum of its proper divisors (21980730856).

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

14331461144 is a wasteful number, since it uses less digits than its factorization.

14331461144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11589 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 14331461144 its reverse (44116413341), we get a palindrome (58447874485).

The spelling of 14331461144 in words is "fourteen billion, three hundred thirty-one million, four hundred sixty-one thousand, one hundred forty-four".