144364282209 has 135 divisors (see below), whose sum is σ = 259419143907. Its totient is φ = 79771892256.

The previous prime is 144364282189. The next prime is 144364282247. The reversal of 144364282209 is 902282463441.

The square root of 144364282209 is 379953.

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

144364282209 is a `hidden beast` number, since 1 + 4 + 4 + 364 + 2 + 82 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129179142225 + 15185139984 = 359415^2 + 123228^2 .

It is not a de Polignac number, because 144364282209 - 2¹¹ = 144364280161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144364282259) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 885670362 + ... + 885670524.

Almost surely, 2^144364282209 is an apocalyptic number.

144364282209 is the 379953-rd square number.

144364282209 is the 189977-th centered octagonal number.

It is an amenable number.

144364282209 is a deficient number, since it is larger than the sum of its proper divisors (115054861698).

144364282209 is an frugal number, since it uses more digits than its factorization.

144364282209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 144364282209 in words is "one hundred forty-four billion, three hundred sixty-four million, two hundred eighty-two thousand, two hundred nine".