11113305432000 has 224 divisors, whose sum is σ = 36699549729024. Its totient is φ = 2963272320000.

The previous prime is 11113305431999. The next prime is 11113305432007. The reversal of 11113305432000 is 23450331111.

11113305432000 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113305432007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490620675 + ... + 490643325.

It is an arithmetic number, because the mean of its divisors is an integer number (163837275576).

Almost surely, 2^{11113305432000} is an apocalyptic number.

11113305432000 is a gapful number since it is divisible by the number (10) 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 11113305432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18349774864512).

11113305432000 is an abundant number, since it is smaller than the sum of its proper divisors (25586244297024).

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

11113305432000 is a wasteful number, since it uses less digits than its factorization.

11113305432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43124 (or 43104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11113305432000 its reverse (23450331111), we get a palindrome (11136755763111).

The spelling of 11113305432000 in words is "eleven trillion, one hundred thirteen billion, three hundred five million, four hundred thirty-two thousand".