14441561322336 has 192 divisors, whose sum is σ = 44022896971200. Its totient is φ = 4599941971968.

The previous prime is 14441561322301. The next prime is 14441561322343. The reversal of 14441561322336 is 63322316514441.

14441561322336 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 5 + 613 + 2 + 23 + 3 + 6 = 666.

It is a super-2 number, since 2×14441561322336² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14441561322291 and 14441561322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540555 + ... + 5401418.

It is an arithmetic number, because the mean of its divisors is an integer number (229285921725).

Almost surely, 2^{14441561322336} is an apocalyptic number.

14441561322336 is a gapful number since it is divisible by the number (16) 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 14441561322336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011448485600).

14441561322336 is an abundant number, since it is smaller than the sum of its proper divisors (29581335648864).

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

14441561322336 is a wasteful number, since it uses less digits than its factorization.

14441561322336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942118 (or 5942104 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

Adding to 14441561322336 its reverse (63322316514441), we get a palindrome (77763877836777).

The spelling of 14441561322336 in words is "fourteen trillion, four hundred forty-one billion, five hundred sixty-one million, three hundred twenty-two thousand, three hundred thirty-six".