11144001103032 has 128 divisors (see below), whose sum is σ = 32633362944000. Its totient is φ = 3104744217600.

The previous prime is 11144001103021. The next prime is 11144001103049. The reversal of 11144001103032 is 23030110044111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13009657 + ... + 13839767.

It is an arithmetic number, because the mean of its divisors is an integer number (254948148000).

Almost surely, 2^{11144001103032} is an apocalyptic number.

11144001103032 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 11144001103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316681472000).

11144001103032 is an abundant number, since it is smaller than the sum of its proper divisors (21489361840968).

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

11144001103032 is a wasteful number, since it uses less digits than its factorization.

11144001103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832117 (or 832113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11144001103032 its reverse (23030110044111), we get a palindrome (34174111147143).

The spelling of 11144001103032 in words is "eleven trillion, one hundred forty-four billion, one million, one hundred three thousand, thirty-two".