144800797729 has 9 divisors (see below), whose sum is σ = 168444842931. Its totient is φ = 124112686320.

The previous prime is 144800797679. The next prime is 144800797751. The reversal of 144800797729 is 927797008441.

The square root of 144800797729 is 380527.

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

It can be written as a sum of positive squares in only one way, i.e., 84638519329 + 60162278400 = 290927^2 + 245280^2 .

It is not a de Polignac number, because 144800797729 - 2¹¹ = 144800795681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144800797769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2636509 + ... + 2690869.

It is an arithmetic number, because the mean of its divisors is an integer number (18716093659).

Almost surely, 2^144800797729 is an apocalyptic number.

144800797729 is the 380527-th square number.

144800797729 is the 190264-th centered octagonal number.

It is an amenable number.

144800797729 is a deficient number, since it is larger than the sum of its proper divisors (23644045202).

144800797729 is an frugal number, since it uses more digits than its factorization.

144800797729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108736 (or 54368 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 144800797729 in words is "one hundred forty-four billion, eight hundred million, seven hundred ninety-seven thousand, seven hundred twenty-nine".