144965044224 has 1344 divisors, whose sum is σ = 589521179520. Its totient is φ = 34398535680.

The previous prime is 144965044201. The next prime is 144965044229. The reversal of 144965044224 is 422440569441.

144965044224 is a `hidden beast` number, since 14 + 4 + 96 + 504 + 42 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 144965044224.

It is not an unprimeable number, because it can be changed into a prime (144965044229) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494484944 + ... + 1494485040.

It is an arithmetic number, because the mean of its divisors is an integer number (438631830).

Almost surely, 2^144965044224 is an apocalyptic number.

144965044224 is a gapful number since it is divisible by the number (14) 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 144965044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294760589760).

144965044224 is an abundant number, since it is smaller than the sum of its proper divisors (444556135296).

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

144965044224 is an equidigital number, since it uses as much as digits as its factorization.

144965044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 144965044224 in words is "one hundred forty-four billion, nine hundred sixty-five million, forty-four thousand, two hundred twenty-four".