226259168928768 has 352 divisors, whose sum is σ = 699347723089920. Its totient is φ = 72125743472640.

The previous prime is 226259168928707. The next prime is 226259168928833. The reversal of 226259168928768 is 867829861952622.

226259168928768 is a `hidden beast` number, since 2 + 2 + 6 + 259 + 1 + 6 + 89 + 287 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3323836173 + ... + 3323904243.

Almost surely, 2^{226259168928768} 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 226259168928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349673861544960).

226259168928768 is an abundant number, since it is smaller than the sum of its proper divisors (473088554161152).

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

226259168928768 is a wasteful number, since it uses less digits than its factorization.

226259168928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73350 (or 73326 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 226259168928768 in words is "two hundred twenty-six trillion, two hundred fifty-nine billion, one hundred sixty-eight million, nine hundred twenty-eight thousand, seven hundred sixty-eight".