14312331204444 has 288 divisors, whose sum is σ = 44691498948096. Its totient is φ = 3760775308800.

The previous prime is 14312331204443. The next prime is 14312331204463. The reversal of 14312331204444 is 44440213321341.

14312331204444 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 2 + 3 + 3 + 1 + 204 + 444 = 666.

14312331204444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14312331204399 and 14312331204408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312331204443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1649451834 + ... + 1649460510.

It is an arithmetic number, because the mean of its divisors is an integer number (155178815792).

Almost surely, 2^{14312331204444} is an apocalyptic number.

14312331204444 is a gapful number since it is divisible by the number (14) 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 14312331204444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22345749474048).

14312331204444 is an abundant number, since it is smaller than the sum of its proper divisors (30379167743652).

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

14312331204444 is a wasteful number, since it uses less digits than its factorization.

14312331204444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14312331204444 its reverse (44440213321341), we get a palindrome (58752544525785).

The spelling of 14312331204444 in words is "fourteen trillion, three hundred twelve billion, three hundred thirty-one million, two hundred four thousand, four hundred forty-four".