14344268444928 has 216 divisors, whose sum is σ = 44049034262688. Its totient is φ = 4652194424832.

The previous prime is 14344268444927. The next prime is 14344268444963. The reversal of 14344268444928 is 82944486244341.

14344268444928 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 42 + 68 + 44 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344268444921) 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 23 ways as a sum of consecutive naturals, for example, 814326 + ... + 5417717.

Almost surely, 2^{14344268444928} is an apocalyptic number.

14344268444928 is a gapful number since it is divisible by the number (18) 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 14344268444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024517131344).

14344268444928 is an abundant number, since it is smaller than the sum of its proper divisors (29704765817760).

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

14344268444928 is an frugal number, since it uses more digits than its factorization.

14344268444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232111 (or 6232085 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 63.

The spelling of 14344268444928 in words is "fourteen trillion, three hundred forty-four billion, two hundred sixty-eight million, four hundred forty-four thousand, nine hundred twenty-eight".