144422313200 has 120 divisors (see below), whose sum is σ = 378731176320. Its totient is φ = 52487596800.

The previous prime is 144422313199. The next prime is 144422313223. The reversal of 144422313200 is 2313224441.

It is a self number, because there is not a number n which added to its sum of digits gives 144422313200.

It is a congruent number.

It is an unprimeable number.

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, 8734541 + ... + 8751059.

It is an arithmetic number, because the mean of its divisors is an integer number (3156093136).

Almost surely, 2^144422313200 is an apocalyptic number.

144422313200 is a gapful number since it is divisible by the number (10) 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 144422313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189365588160).

144422313200 is an abundant number, since it is smaller than the sum of its proper divisors (234308863120).

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

144422313200 is a wasteful number, since it uses less digits than its factorization.

144422313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144422313200 its reverse (2313224441), we get a palindrome (146735537641).

The spelling of 144422313200 in words is "one hundred forty-four billion, four hundred twenty-two million, three hundred thirteen thousand, two hundred".