224314141224144 has 80 divisors (see below), whose sum is σ = 590493312384192. Its totient is φ = 73350465137664.

The previous prime is 224314141224139. The next prime is 224314141224149. The reversal of 224314141224144 is 441422141413422.

It is an interprime number because it is at equal distance from previous prime (224314141224139) and next prime (224314141224149).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224314141224149) 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, 12339364 + ... + 24513020.

Almost surely, 2^{224314141224144} is an apocalyptic number.

224314141224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224314141224144 is an abundant number, since it is smaller than the sum of its proper divisors (366179171160048).

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

224314141224144 is a wasteful number, since it uses less digits than its factorization.

224314141224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180964 (or 12180958 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

Adding to 224314141224144 its reverse (441422141413422), we get a palindrome (665736282637566).

The spelling of 224314141224144 in words is "two hundred twenty-four trillion, three hundred fourteen billion, one hundred forty-one million, two hundred twenty-four thousand, one hundred forty-four".