4504144556209 has 27 divisors (see below), whose sum is σ = 4827561848427. Its totient is φ = 4201536838464.

The previous prime is 4504144556201. The next prime is 4504144556227. The reversal of 4504144556209 is 9026554414054.

The square root of 4504144556209 is 2122297.

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., 3506686938225 + 997457617984 = 1872615^2 + 998728^2 .

It is not a de Polignac number, because 4504144556209 - 2³ = 4504144556201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4504144556201) 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, 4582038732 + ... + 4582039714.

Almost surely, 2^{4504144556209} is an apocalyptic number.

4504144556209 is the 2122297-th square number.

4504144556209 is the 1061149-th centered octagonal number.

It is an amenable number.

4504144556209 is a deficient number, since it is larger than the sum of its proper divisors (323417292218).

4504144556209 is an frugal number, since it uses more digits than its factorization.

4504144556209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

Multiplying 4504144556209 by its sum of digits (49), we get a square (220703083254241 = 14856079²).

The spelling of 4504144556209 in words is "four trillion, five hundred four billion, one hundred forty-four million, five hundred fifty-six thousand, two hundred nine".