144983508289 has 27 divisors (see below), whose sum is σ = 153341781033. Its totient is φ = 137076120000.

The previous prime is 144983508167. The next prime is 144983508301. The reversal of 144983508289 is 982805389441.

The square root of 144983508289 is 380767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1715202225 + 143268306064 = 41415^2 + 378508^2 .

It is not a de Polignac number, because 144983508289 - 2⁷ = 144983508161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144983508689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 577623414 + ... + 577623664.

Almost surely, 2^144983508289 is an apocalyptic number.

144983508289 is the 380767-th square number.

144983508289 is the 190384-th centered octagonal number.

It is an amenable number.

144983508289 is a deficient number, since it is larger than the sum of its proper divisors (8358272744).

144983508289 is an frugal number, since it uses more digits than its factorization.

144983508289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 144983508289 in words is "one hundred forty-four billion, nine hundred eighty-three million, five hundred eight thousand, two hundred eighty-nine".