14287326144 has 112 divisors (see below), whose sum is σ = 46525452288. Its totient is φ = 3768081408.

The previous prime is 14287326143. The next prime is 14287326149. The reversal of 14287326144 is 44162378241.

14287326144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14287326096 and 14287326105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287326143) 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 15 ways as a sum of consecutive naturals, for example, 391392 + ... + 426335.

It is an arithmetic number, because the mean of its divisors is an integer number (415405824).

Almost surely, 2^14287326144 is an apocalyptic number.

14287326144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14287326144 is an abundant number, since it is smaller than the sum of its proper divisors (32238126144).

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

14287326144 is a wasteful number, since it uses less digits than its factorization.

14287326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817762 (or 817752 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 14287326144 in words is "fourteen billion, two hundred eighty-seven million, three hundred twenty-six thousand, one hundred forty-four".