144330324768 has 576 divisors, whose sum is σ = 535306060800. Its totient is φ = 37553725440.

The previous prime is 144330324727. The next prime is 144330324791. The reversal of 144330324768 is 867423033441.

144330324768 is a `hidden beast` number, since 1 + 4 + 43 + 303 + 247 + 68 = 666.

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 95 ways as a sum of consecutive naturals, for example, 22307838 + ... + 22314306.

It is an arithmetic number, because the mean of its divisors is an integer number (929350800).

Almost surely, 2^144330324768 is an apocalyptic number.

144330324768 is a gapful number since it is divisible by the number (18) 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 144330324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267653030400).

144330324768 is an abundant number, since it is smaller than the sum of its proper divisors (390975736032).

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

144330324768 is a wasteful number, since it uses less digits than its factorization.

144330324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 144330324768 in words is "one hundred forty-four billion, three hundred thirty million, three hundred twenty-four thousand, seven hundred sixty-eight".