11124000640544 has 96 divisors (see below), whose sum is σ = 24076929602880. Its totient is φ = 5017091788800.

The previous prime is 11124000640531. The next prime is 11124000640547. The reversal of 11124000640544 is 44504600042111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11124000640544.

It is not an unprimeable number, because it can be changed into a prime (11124000640547) 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, 534566012 + ... + 534586820.

It is an arithmetic number, because the mean of its divisors is an integer number (250801350030).

Almost surely, 2^{11124000640544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124000640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038464801440).

11124000640544 is an abundant number, since it is smaller than the sum of its proper divisors (12952928962336).

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

11124000640544 is a wasteful number, since it uses less digits than its factorization.

11124000640544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32554 (or 32546 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 11124000640544 its reverse (44504600042111), we get a palindrome (55628600682655).

The spelling of 11124000640544 in words is "eleven trillion, one hundred twenty-four billion, six hundred forty thousand, five hundred forty-four".