224011344000 has 128 divisors (see below), whose sum is σ = 742597764480. Its totient is φ = 59736345600.

The previous prime is 224011343989. The next prime is 224011344031. The reversal of 224011344000 is 443110422.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285452 + ... + 2381451.

It is an arithmetic number, because the mean of its divisors is an integer number (5801545035).

Almost surely, 2^224011344000 is an apocalyptic number.

224011344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224011344000 is an abundant number, since it is smaller than the sum of its proper divisors (518586420480).

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

224011344000 is an equidigital number, since it uses as much as digits as its factorization.

224011344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666935 (or 4666913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 224011344000 its reverse (443110422), we get a palindrome (224454454422).

The spelling of 224011344000 in words is "two hundred twenty-four billion, eleven million, three hundred forty-four thousand".