144324242304 has 384 divisors, whose sum is σ = 453767546880. Its totient is φ = 40167751680.

The previous prime is 144324242303. The next prime is 144324242329. The reversal of 144324242304 is 403242423441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144324242303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132772449 + ... + 132773535.

It is an arithmetic number, because the mean of its divisors is an integer number (1181686320).

Almost surely, 2^144324242304 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 144324242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226883773440).

144324242304 is an abundant number, since it is smaller than the sum of its proper divisors (309443304576).

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

144324242304 is a wasteful number, since it uses less digits than its factorization.

144324242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 144324242304 its reverse (403242423441), we get a palindrome (547566665745).

The spelling of 144324242304 in words is "one hundred forty-four billion, three hundred twenty-four million, two hundred forty-two thousand, three hundred four".