224534820210648 has 256 divisors, whose sum is σ = 584762714726400. Its totient is φ = 71789383680000.

The previous prime is 224534820210529. The next prime is 224534820210653. The reversal of 224534820210648 is 846012028435422.

It is a happy number.

224534820210648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224534820210648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47742889465 + ... + 47742894167.

It is an arithmetic number, because the mean of its divisors is an integer number (2284229354400).

Almost surely, 2^{224534820210648} 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 224534820210648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292381357363200).

224534820210648 is an abundant number, since it is smaller than the sum of its proper divisors (360227894515752).

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

224534820210648 is a wasteful number, since it uses less digits than its factorization.

224534820210648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 224534820210648 in words is "two hundred twenty-four trillion, five hundred thirty-four billion, eight hundred twenty million, two hundred ten thousand, six hundred forty-eight".