224145404000 has 288 divisors, whose sum is σ = 641850168960. Its totient is φ = 76704768000.

The previous prime is 224145403939. The next prime is 224145404029. The reversal of 224145404000 is 404541422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182083385 + ... + 182084615.

It is an arithmetic number, because the mean of its divisors is an integer number (2228646420).

Almost surely, 2^224145404000 is an apocalyptic number.

224145404000 is a gapful number since it is divisible by the number (20) 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 224145404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320925084480).

224145404000 is an abundant number, since it is smaller than the sum of its proper divisors (417704764960).

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

224145404000 is a wasteful number, since it uses less digits than its factorization.

224145404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 224145404000 its reverse (404541422), we get a palindrome (224549945422).

The spelling of 224145404000 in words is "two hundred twenty-four billion, one hundred forty-five million, four hundred four thousand".