1144312224 has 96 divisors (see below), whose sum is σ = 3309647040. Its totient is φ = 343296000.

The previous prime is 1144312217. The next prime is 1144312271. The reversal of 1144312224 is 4222134411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1144312194 and 1144312203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 101292 + ... + 112020.

It is an arithmetic number, because the mean of its divisors is an integer number (34475490).

Almost surely, 2^1144312224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654823520).

1144312224 is an abundant number, since it is smaller than the sum of its proper divisors (2165334816).

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

1144312224 is a wasteful number, since it uses less digits than its factorization.

1144312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854 (or 10846 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1144312224 is about 33827.6842837342. The cubic root of 1144312224 is about 1045.9594445314.

Adding to 1144312224 its reverse (4222134411), we get a palindrome (5366446635).

The spelling of 1144312224 in words is "one billion, one hundred forty-four million, three hundred twelve thousand, two hundred twenty-four".