1131144168 has 256 divisors, whose sum is σ = 3687690240. Its totient is φ = 280627200.

The previous prime is 1131144067. The next prime is 1131144173. The reversal of 1131144168 is 8614411311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4854580 + ... + 4854812.

It is an arithmetic number, because the mean of its divisors is an integer number (14405040).

Almost surely, 2^1131144168 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 1131144168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843845120).

1131144168 is an abundant number, since it is smaller than the sum of its proper divisors (2556546072).

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

1131144168 is a wasteful number, since it uses less digits than its factorization.

1131144168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 1131144168 is about 33632.4867947644. The cubic root of 1131144168 is about 1041.9318653312.

Adding to 1131144168 its reverse (8614411311), we get a palindrome (9745555479).

The spelling of 1131144168 in words is "one billion, one hundred thirty-one million, one hundred forty-four thousand, one hundred sixty-eight".