1144045791 has 24 divisors (see below), whose sum is σ = 1915190784. Its totient is φ = 644530320.

The previous prime is 1144045781. The next prime is 1144045807. The reversal of 1144045791 is 1975404411.

1144045791 is a `hidden beast` number, since 114 + 4 + 0 + 457 + 91 = 666.

It is not a de Polignac number, because 1144045791 - 2⁵ = 1144045759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144045711) 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 23 ways as a sum of consecutive naturals, for example, 123411 + ... + 132356.

It is an arithmetic number, because the mean of its divisors is an integer number (79799616).

Almost surely, 2^1144045791 is an apocalyptic number.

1144045791 is a deficient number, since it is larger than the sum of its proper divisors (771144993).

1144045791 is a wasteful number, since it uses less digits than its factorization.

1144045791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255851 (or 255848 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1144045791 is about 33823.7459634500. The cubic root of 1144045791 is about 1045.8782604693.

The spelling of 1144045791 in words is "one billion, one hundred forty-four million, forty-five thousand, seven hundred ninety-one".