11503041001144 has 128 divisors (see below), whose sum is σ = 27062953574400. Its totient is φ = 4452932154240.

The previous prime is 11503041001129. The next prime is 11503041001159. The reversal of 11503041001144 is 44110014030511.

It is an interprime number because it is at equal distance from previous prime (11503041001129) and next prime (11503041001159).

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, 398304097 + ... + 398332975.

It is an arithmetic number, because the mean of its divisors is an integer number (211429324800).

Almost surely, 2^{11503041001144} is an apocalyptic number.

11503041001144 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 11503041001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531476787200).

11503041001144 is an abundant number, since it is smaller than the sum of its proper divisors (15559912573256).

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

11503041001144 is a wasteful number, since it uses less digits than its factorization.

11503041001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33033 (or 33029 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 11503041001144 its reverse (44110014030511), we get a palindrome (55613055031655).

The spelling of 11503041001144 in words is "eleven trillion, five hundred three billion, forty-one million, one thousand, one hundred forty-four".