11144242032 has 320 divisors, whose sum is σ = 37407605760. Its totient is φ = 2774016000.

The previous prime is 11144242019. The next prime is 11144242037. The reversal of 11144242032 is 23024244111.

11144242032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11144241993 and 11144242011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144242037) 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 63 ways as a sum of consecutive naturals, for example, 18542532 + ... + 18543132.

It is an arithmetic number, because the mean of its divisors is an integer number (116898768).

Almost surely, 2^11144242032 is an apocalyptic number.

11144242032 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 11144242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703802880).

11144242032 is an abundant number, since it is smaller than the sum of its proper divisors (26263363728).

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

11144242032 is a wasteful number, since it uses less digits than its factorization.

11144242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11144242032 its reverse (23024244111), we get a palindrome (34168486143).

The spelling of 11144242032 in words is "eleven billion, one hundred forty-four million, two hundred forty-two thousand, thirty-two".