224131435145424 has 120 divisors (see below), whose sum is σ = 630711571875840. Its totient is φ = 74300047670016.

The previous prime is 224131435145411. The next prime is 224131435145437. The reversal of 224131435145424 is 424541534131422.

224131435145424 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 143 + 51 + 454 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (224131435145411) and next prime (224131435145437).

It is a self number, because there is not a number n which added to its sum of digits gives 224131435145424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14664897 + ... + 25755039.

It is an arithmetic number, because the mean of its divisors is an integer number (5255929765632).

Almost surely, 2^{224131435145424} is an apocalyptic number.

224131435145424 is a gapful number since it is divisible by the number (24) 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 224131435145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315355785937920).

224131435145424 is an abundant number, since it is smaller than the sum of its proper divisors (406580136730416).

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

224131435145424 is a wasteful number, since it uses less digits than its factorization.

224131435145424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11090929 (or 11090920 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

Adding to 224131435145424 its reverse (424541534131422), we get a palindrome (648672969276846).

The spelling of 224131435145424 in words is "two hundred twenty-four trillion, one hundred thirty-one billion, four hundred thirty-five million, one hundred forty-five thousand, four hundred twenty-four".