4813585368228 has 768 divisors, whose sum is σ = 16740711106560. Its totient is φ = 1159899512832.

The previous prime is 4813585368181. The next prime is 4813585368287. The reversal of 4813585368228 is 8228635853184.

4813585368228 is a `hidden beast` number, since 4 + 8 + 1 + 358 + 53 + 6 + 8 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4926903676 + ... + 4926904652.

It is an arithmetic number, because the mean of its divisors is an integer number (21797800920).

Almost surely, 2^{4813585368228} 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 4813585368228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370355553280).

4813585368228 is an abundant number, since it is smaller than the sum of its proper divisors (11927125738332).

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

4813585368228 is a wasteful number, since it uses less digits than its factorization.

4813585368228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 4813585368228 in words is "four trillion, eight hundred thirteen billion, five hundred eighty-five million, three hundred sixty-eight thousand, two hundred twenty-eight".