14944329009 has 75 divisors (see below), whose sum is σ = 24234900877. Its totient is φ = 9177326784.

The previous prime is 14944328977. The next prime is 14944329017. The reversal of 14944329009 is 90092344941.

The square root of 14944329009 is 122247.

It is a perfect power (a square), and thus also a powerful number.

14944329009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4638018609 + 10306310400 = 68103^2 + 101520^2 .

It is not a de Polignac number, because 14944329009 - 2⁵ = 14944328977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14944329079) 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 74 ways as a sum of consecutive naturals, for example, 317964424 + ... + 317964470.

Almost surely, 2^14944329009 is an apocalyptic number.

14944329009 is the 122247-th square number.

14944329009 is the 61124-th centered octagonal number.

It is an amenable number.

14944329009 is a deficient number, since it is larger than the sum of its proper divisors (9290571868).

14944329009 is an frugal number, since it uses more digits than its factorization.

14944329009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 14944329009 in words is "fourteen billion, nine hundred forty-four million, three hundred twenty-nine thousand, nine".