226318532622336 has 576 divisors, whose sum is σ = 816092652211200. Its totient is φ = 58700862259200.

The previous prime is 226318532622311. The next prime is 226318532622353. The reversal of 226318532622336 is 633226235813622.

226318532622336 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 8 + 5 + 3 + 2 + 622 + 3 + 3 + 6 = 666.

226318532622336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006145721 + ... + 1006370631.

It is an arithmetic number, because the mean of its divisors is an integer number (1416827521200).

Almost surely, 2^{226318532622336} 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 226318532622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408046326105600).

226318532622336 is an abundant number, since it is smaller than the sum of its proper divisors (589774119588864).

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

226318532622336 is a wasteful number, since it uses less digits than its factorization.

226318532622336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225666 (or 225643 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 226318532622336 in words is "two hundred twenty-six trillion, three hundred eighteen billion, five hundred thirty-two million, six hundred twenty-two thousand, three hundred thirty-six".