1144809585 has 64 divisors (see below), whose sum is σ = 2105429760. Its totient is φ = 589800960.

The previous prime is 1144809583. The next prime is 1144809587. The reversal of 1144809585 is 5859084411.

It is a happy number.

1144809585 is a `hidden beast` number, since 1 + 1 + 4 + 480 + 95 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (1144809583) and next prime (1144809587).

It is not a de Polignac number, because 1144809585 - 2¹ = 1144809583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1144809585.

It is not an unprimeable number, because it can be changed into a prime (1144809583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591279 + ... + 593211.

It is an arithmetic number, because the mean of its divisors is an integer number (32897340).

Almost surely, 2^1144809585 is an apocalyptic number.

1144809585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1144809585 is a deficient number, since it is larger than the sum of its proper divisors (960620175).

1144809585 is a wasteful number, since it uses less digits than its factorization.

1144809585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1144809585 is about 33835.0348751113. The cubic root of 1144809585 is about 1046.1109603135.

The spelling of 1144809585 in words is "one billion, one hundred forty-four million, eight hundred nine thousand, five hundred eighty-five".