11144304432 has 80 divisors (see below), whose sum is σ = 32033664000. Its totient is φ = 3709498176.

The previous prime is 11144304427. The next prime is 11144304433. The reversal of 11144304432 is 23440344111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11144304396 and 11144304405.

It is not an unprimeable number, because it can be changed into a prime (11144304433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292669 + ... + 328547.

It is an arithmetic number, because the mean of its divisors is an integer number (400420800).

Almost surely, 2^11144304432 is an apocalyptic number.

11144304432 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 11144304432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016832000).

11144304432 is an abundant number, since it is smaller than the sum of its proper divisors (20889359568).

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

11144304432 is a wasteful number, since it uses less digits than its factorization.

11144304432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36615 (or 36603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11144304432 its reverse (23440344111), we get a palindrome (34584648543).

The spelling of 11144304432 in words is "eleven billion, one hundred forty-four million, three hundred four thousand, four hundred thirty-two".