144016384 has 44 divisors (see below), whose sum is σ = 304863804. Its totient is φ = 67764224.

The previous prime is 144016373. The next prime is 144016387. The reversal of 144016384 is 483610441.

It can be written as a sum of positive squares in 2 ways, for example, as 110838784 + 33177600 = 10528^2 + 5760^2 .

It is a super-3 number, since 3×144016384³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144016387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13272 + ... + 21544.

Almost surely, 2^144016384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152431902).

144016384 is an abundant number, since it is smaller than the sum of its proper divisors (160847420).

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

144016384 is an equidigital number, since it uses as much as digits as its factorization.

144016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 144016384 is about 12000.6826472497. The cubic root of 144016384 is about 524.1681568967.

It can be divided in two parts, 144016 and 384, that added together give a square (144400 = 380²).

The spelling of 144016384 in words is "one hundred forty-four million, sixteen thousand, three hundred eighty-four".