226868403168 has 1152 divisors, whose sum is σ = 820306206720. Its totient is φ = 58629795840.

The previous prime is 226868403163. The next prime is 226868403221. The reversal of 226868403168 is 861304868622.

226868403168 is a `hidden beast` number, since 2 + 268 + 68 + 4 + 0 + 316 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226868403161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2202605805 + ... + 2202605907.

It is an arithmetic number, because the mean of its divisors is an integer number (712071360).

Almost surely, 2^226868403168 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 226868403168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410153103360).

226868403168 is an abundant number, since it is smaller than the sum of its proper divisors (593437803552).

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

226868403168 is a wasteful number, since it uses less digits than its factorization.

226868403168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

It can be divided in two parts, 226868 and 403168, that added together give a palindrome (630036).

The spelling of 226868403168 in words is "two hundred twenty-six billion, eight hundred sixty-eight million, four hundred three thousand, one hundred sixty-eight".