2304144321444 has 192 divisors, whose sum is σ = 6868338247680. Its totient is φ = 654353665920.

The previous prime is 2304144321443. The next prime is 2304144321449. The reversal of 2304144321444 is 4441234414032.

2304144321444 is a `hidden beast` number, since 2 + 30 + 41 + 443 + 2 + 144 + 4 = 666.

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 = 2304144321399 and 2304144321408.

It is not an unprimeable number, because it can be changed into a prime (2304144321443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 405442227 + ... + 405447909.

It is an arithmetic number, because the mean of its divisors is an integer number (35772595040).

Almost surely, 2^{2304144321444} 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 2304144321444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434169123840).

2304144321444 is an abundant number, since it is smaller than the sum of its proper divisors (4564193926236).

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

2304144321444 is a wasteful number, since it uses less digits than its factorization.

2304144321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2304144321444 its reverse (4441234414032), we get a palindrome (6745378735476).

The spelling of 2304144321444 in words is "two trillion, three hundred four billion, one hundred forty-four million, three hundred twenty-one thousand, four hundred forty-four".