144442214424144 has 240 divisors, whose sum is σ = 497622458790912. Its totient is φ = 38087048558592.

The previous prime is 144442214424139. The next prime is 144442214424169. The reversal of 144442214424144 is 441424412244441.

144442214424144 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 214 + 424 + 1 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144442214424144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64724164 + ... + 66918620.

Almost surely, 2^{144442214424144} is an apocalyptic number.

144442214424144 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 144442214424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248811229395456).

144442214424144 is an abundant number, since it is smaller than the sum of its proper divisors (353180244366768).

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

144442214424144 is a wasteful number, since it uses less digits than its factorization.

144442214424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199514 (or 2199505 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 45.

Adding to 144442214424144 its reverse (441424412244441), we get a palindrome (585866626668585).

The spelling of 144442214424144 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred fourteen million, four hundred twenty-four thousand, one hundred forty-four".