1144320045 has 128 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 512256000.

The previous prime is 1144320029. The next prime is 1144320059. The reversal of 1144320045 is 5400234411.

It is not a de Polignac number, because 1144320045 - 2⁴ = 1144320029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1144319997 and 1144320024.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 18759315 + ... + 18759375.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^1144320045 is an apocalyptic number.

1144320045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1144320045 is a deficient number, since it is larger than the sum of its proper divisors (1015541715).

1144320045 is a wasteful number, since it uses less digits than its factorization.

1144320045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1144320045 is about 33827.7998841190. The cubic root of 1144320045 is about 1045.9618274563.

Adding to 1144320045 its reverse (5400234411), we get a palindrome (6544554456).

The spelling of 1144320045 in words is "one billion, one hundred forty-four million, three hundred twenty thousand, forty-five".