144478844928 has 576 divisors, whose sum is σ = 486811503360. Its totient is φ = 40796160000.

The previous prime is 144478844921. The next prime is 144478844941. The reversal of 144478844928 is 829448874441.

144478844928 is a `hidden beast` number, since 1 + 44 + 478 + 84 + 49 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144478844921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575612803 + ... + 575613053.

It is an arithmetic number, because the mean of its divisors is an integer number (845158860).

Almost surely, 2^144478844928 is an apocalyptic number.

144478844928 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 144478844928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243405751680).

144478844928 is an abundant number, since it is smaller than the sum of its proper divisors (342332658432).

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

144478844928 is a wasteful number, since it uses less digits than its factorization.

144478844928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 451 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 144478844928 in words is "one hundred forty-four billion, four hundred seventy-eight million, eight hundred forty-four thousand, nine hundred twenty-eight".