11132344512 has 280 divisors, whose sum is σ = 34233250304. Its totient is φ = 3574222848.

The previous prime is 11132344507. The next prime is 11132344513. The reversal of 11132344512 is 21544323111.

11132344512 is a `hidden beast` number, since 1 + 113 + 2 + 34 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132344513) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 24359388 + ... + 24359844.

Almost surely, 2^11132344512 is an apocalyptic number.

11132344512 is a gapful number since it is divisible by the number (12) 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 11132344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116625152).

11132344512 is an abundant number, since it is smaller than the sum of its proper divisors (23100905792).

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

11132344512 is a wasteful number, since it uses less digits than its factorization.

11132344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 11132344512 its reverse (21544323111), we get a palindrome (32676667623).

The spelling of 11132344512 in words is "eleven billion, one hundred thirty-two million, three hundred forty-four thousand, five hundred twelve".