144000103320000 has 560 divisors, whose sum is σ = 529199875832320. Its totient is φ = 38385353088000.

The previous prime is 144000103319987. The next prime is 144000103320001. The reversal of 144000103320000 is 23301000441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000103320001) 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 79 ways as a sum of consecutive naturals, for example, 2988335907 + ... + 2988384093.

It is an arithmetic number, because the mean of its divisors is an integer number (944999778272).

Almost surely, 2^{144000103320000} is an apocalyptic number.

144000103320000 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 144000103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264599937916160).

144000103320000 is an abundant number, since it is smaller than the sum of its proper divisors (385199772512320).

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

144000103320000 is an equidigital number, since it uses as much as digits as its factorization.

144000103320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50995 (or 50964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 144000103320000 its reverse (23301000441), we get a palindrome (144023404320441).

The spelling of 144000103320000 in words is "one hundred forty-four trillion, one hundred three million, three hundred twenty thousand".