144189347328 has 240 divisors, whose sum is σ = 452521349280. Its totient is φ = 43933335552.

The previous prime is 144189347317. The next prime is 144189347353. The reversal of 144189347328 is 823743981441.

144189347328 is a `hidden beast` number, since 1 + 441 + 89 + 34 + 73 + 28 = 666.

It is a super-3 number, since 3×144189347328³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6158428 + ... + 6181796.

It is an arithmetic number, because the mean of its divisors is an integer number (1885505622).

Almost surely, 2^144189347328 is an apocalyptic number.

144189347328 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 144189347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226260674640).

144189347328 is an abundant number, since it is smaller than the sum of its proper divisors (308332001952).

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

144189347328 is a wasteful number, since it uses less digits than its factorization.

144189347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23509 (or 23490 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 144189347328 in words is "one hundred forty-four billion, one hundred eighty-nine million, three hundred forty-seven thousand, three hundred twenty-eight".