1144316800 has 384 divisors, whose sum is σ = 3414960000. Its totient is φ = 374169600.

The previous prime is 1144316791. The next prime is 1144316809. The reversal of 1144316800 is 86134411.

It is an interprime number because it is at equal distance from previous prime (1144316791) and next prime (1144316809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144316809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19395171 + ... + 19395229.

It is an arithmetic number, because the mean of its divisors is an integer number (8893125).

Almost surely, 2^1144316800 is an apocalyptic number.

1144316800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707480000).

1144316800 is an abundant number, since it is smaller than the sum of its proper divisors (2270643200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1144316800 is a wasteful number, since it uses less digits than its factorization.

1144316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1144316800 is about 33827.7519205755. The cubic root of 1144316800 is about 1045.9608387616.

The spelling of 1144316800 in words is "one billion, one hundred forty-four million, three hundred sixteen thousand, eight hundred".