360544144 has 45 divisors (see below), whose sum is σ = 720870001. Its totient is φ = 174689600.

The previous prime is 360544139. The next prime is 360544147. The reversal of 360544144 is 441445063.

The square root of 360544144 is 18988.

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., 346406544 + 14137600 = 18612^2 + 3760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360544147) 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, 3569694 + ... + 3569794.

Almost surely, 2^360544144 is an apocalyptic number.

360544144 is the 18988-th square number.

It is an amenable number.

360544144 is a deficient number, since it is larger than the sum of its proper divisors (360325857).

360544144 is an equidigital number, since it uses as much as digits as its factorization.

360544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The cubic root of 360544144 is about 711.7368993815.

The spelling of 360544144 in words is "three hundred sixty million, five hundred forty-four thousand, one hundred forty-four".