226568101824 has 168 divisors, whose sum is σ = 673682493120. Its totient is φ = 72747417600.

The previous prime is 226568101769. The next prime is 226568101847. The reversal of 226568101824 is 428101865622.

226568101824 is a `hidden beast` number, since 2 + 2 + 6 + 568 + 1 + 0 + 1 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226568101824.

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, 1804944 + ... + 1926384.

It is an arithmetic number, because the mean of its divisors is an integer number (4010014840).

Almost surely, 2^226568101824 is an apocalyptic number.

226568101824 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 226568101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336841246560).

226568101824 is an abundant number, since it is smaller than the sum of its proper divisors (447114391296).

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

226568101824 is a wasteful number, since it uses less digits than its factorization.

226568101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121579 (or 121566 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 226568101824 in words is "two hundred twenty-six billion, five hundred sixty-eight million, one hundred one thousand, eight hundred twenty-four".