226917726336 has 768 divisors, whose sum is σ = 806852966400. Its totient is φ = 59825848320.

The previous prime is 226917726311. The next prime is 226917726337. The reversal of 226917726336 is 633627719622.

226917726336 is a `hidden beast` number, since 226 + 9 + 17 + 72 + 6 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226917726337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819197430 + ... + 819197706.

It is an arithmetic number, because the mean of its divisors is an integer number (1050589800).

Almost surely, 2^226917726336 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 226917726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403426483200).

226917726336 is an abundant number, since it is smaller than the sum of its proper divisors (579935240064).

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

226917726336 is a wasteful number, since it uses less digits than its factorization.

226917726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 226917726336 in words is "two hundred twenty-six billion, nine hundred seventeen million, seven hundred twenty-six thousand, three hundred thirty-six".