224501024313104 has 640 divisors, whose sum is σ = 570794634805248. Its totient is φ = 83718835200000.

The previous prime is 224501024313103. The next prime is 224501024313143. The reversal of 224501024313104 is 401313420105422.

It is a super-2 number, since 2×224501024313104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224501024313103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115069719329 + ... + 115069721279.

Almost surely, 2^{224501024313104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224501024313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285397317402624).

224501024313104 is an abundant number, since it is smaller than the sum of its proper divisors (346293610492144).

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

224501024313104 is a wasteful number, since it uses less digits than its factorization.

224501024313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 224501024313104 its reverse (401313420105422), we get a palindrome (625814444418526).

The spelling of 224501024313104 in words is "two hundred twenty-four trillion, five hundred one billion, twenty-four million, three hundred thirteen thousand, one hundred four".