144141144224 has 96 divisors (see below), whose sum is σ = 362430536832. Its totient is φ = 54789120000.

The previous prime is 144141144223. The next prime is 144141144227. The reversal of 144141144224 is 422441141441.

144141144224 is digitally balanced in base 3, 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 (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144141144223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 612377 + ... + 814424.

It is an arithmetic number, because the mean of its divisors is an integer number (3775318092).

Almost surely, 2^144141144224 is an apocalyptic number.

144141144224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144141144224 is an abundant number, since it is smaller than the sum of its proper divisors (218289392608).

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

144141144224 is a wasteful number, since it uses less digits than its factorization.

144141144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426870 (or 1426862 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

Adding to 144141144224 its reverse (422441141441), we get a palindrome (566582285665).

The spelling of 144141144224 in words is "one hundred forty-four billion, one hundred forty-one million, one hundred forty-four thousand, two hundred twenty-four".