144683561288704 has 297 divisors, whose sum is σ = 308673328747917. Its totient is φ = 67778091245568.

The previous prime is 144683561288701. The next prime is 144683561288723. The reversal of 144683561288704 is 407882165386441.

The square root of 144683561288704 is 12028448.

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

144683561288704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24937638937600 + 119745922351104 = 4993760^2 + 10942848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144683561288704.

It is not an unprimeable number, because it can be changed into a prime (144683561288701) 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, 522323325814 + ... + 522323326090.

Almost surely, 2^{144683561288704} is an apocalyptic number.

144683561288704 is the 12028448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144683561288704

144683561288704 is an abundant number, since it is smaller than the sum of its proper divisors (163989767459213).

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

144683561288704 is an frugal number, since it uses more digits than its factorization.

144683561288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 67.

The spelling of 144683561288704 in words is "one hundred forty-four trillion, six hundred eighty-three billion, five hundred sixty-one million, two hundred eighty-eight thousand, seven hundred four".