11133344000 has 144 divisors (see below), whose sum is σ = 27945240960. Its totient is φ = 4419532800.

The previous prime is 11133343967. The next prime is 11133344009. The reversal of 11133344000 is 44333111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11133344009) 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, 4446749 + ... + 4449251.

Almost surely, 2^11133344000 is an apocalyptic number.

11133344000 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 11133344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972620480).

11133344000 is an abundant number, since it is smaller than the sum of its proper divisors (16811896960).

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

11133344000 is an equidigital number, since it uses as much as digits as its factorization.

11133344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11133344000 its reverse (44333111), we get a palindrome (11177677111).

The spelling of 11133344000 in words is "eleven billion, one hundred thirty-three million, three hundred forty-four thousand".