1324116144 has 120 divisors (see below), whose sum is σ = 4119652992. Its totient is φ = 394260480.

The previous prime is 1324116107. The next prime is 1324116193. The reversal of 1324116144 is 4416114231.

1324116144 is a `hidden beast` number, since 1 + 3 + 2 + 41 + 1 + 614 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46624 + ... + 69440.

Almost surely, 2^1324116144 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 1324116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059826496).

1324116144 is an abundant number, since it is smaller than the sum of its proper divisors (2795536848).

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

1324116144 is a wasteful number, since it uses less digits than its factorization.

1324116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22875 (or 22866 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1324116144 is about 36388.4067252195. The cubic root of 1324116144 is about 1098.1003421890.

The spelling of 1324116144 in words is "one billion, three hundred twenty-four million, one hundred sixteen thousand, one hundred forty-four".