1132321334144 has 384 divisors, whose sum is σ = 3088343311200. Its totient is φ = 406503014400.

The previous prime is 1132321334143. The next prime is 1132321334173. The reversal of 1132321334144 is 4414331232311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1132321334144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132321334141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 958781234 + ... + 958782414.

Almost surely, 2^{1132321334144} is an apocalyptic number.

1132321334144 is a gapful number since it is divisible by the number (14) 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 1132321334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544171655600).

1132321334144 is an abundant number, since it is smaller than the sum of its proper divisors (1956021977056).

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

1132321334144 is a wasteful number, since it uses less digits than its factorization.

1132321334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2283 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1132321334144 its reverse (4414331232311), we get a palindrome (5546652566455).

The spelling of 1132321334144 in words is "one trillion, one hundred thirty-two billion, three hundred twenty-one million, three hundred thirty-four thousand, one hundred forty-four".