1134144431224 has 64 divisors (see below), whose sum is σ = 2452626432000. Its totient is φ = 481608457344.

The previous prime is 1134144431209. The next prime is 1134144431237. The reversal of 1134144431224 is 4221344414311.

It is a super-2 number, since 2×1134144431224² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1134144431224.

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 15 ways as a sum of consecutive naturals, for example, 5394427 + ... + 5600725.

It is an arithmetic number, because the mean of its divisors is an integer number (38322288000).

Almost surely, 2^{1134144431224} is an apocalyptic number.

1134144431224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1134144431224 is an abundant number, since it is smaller than the sum of its proper divisors (1318482000776).

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

1134144431224 is a wasteful number, since it uses less digits than its factorization.

1134144431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207212 (or 207208 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 1134144431224 its reverse (4221344414311), we get a palindrome (5355488845535).

The spelling of 1134144431224 in words is "one trillion, one hundred thirty-four billion, one hundred forty-four million, four hundred thirty-one thousand, two hundred twenty-four".