14444120333032 has 64 divisors (see below), whose sum is σ = 29505968528400. Its totient is φ = 6588874997760.

The previous prime is 14444120333009. The next prime is 14444120333047. The reversal of 14444120333032 is 23033302144441.

It can be written as a sum of positive squares in 8 ways, for example, as 2806784219716 + 11637336113316 = 1675346^2 + 3411354^2 .

It is a super-2 number, since 2×14444120333032² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22048932 + ... + 22694572.

Almost surely, 2^{14444120333032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444120333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752984264200).

14444120333032 is an abundant number, since it is smaller than the sum of its proper divisors (15061848195368).

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

14444120333032 is a wasteful number, since it uses less digits than its factorization.

14444120333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648166 (or 648162 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 14444120333032 its reverse (23033302144441), we get a palindrome (37477422477473).

The spelling of 14444120333032 in words is "fourteen trillion, four hundred forty-four billion, one hundred twenty million, three hundred thirty-three thousand, thirty-two".