226060807968 has 144 divisors (see below), whose sum is σ = 665415668736. Its totient is φ = 72723087360.

The previous prime is 226060807961. The next prime is 226060807991. The reversal of 226060807968 is 869708060622.

226060807968 is a `hidden beast` number, since 2 + 26 + 0 + 608 + 0 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×226060807968² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226060807961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3242080 + ... + 3311072.

It is an arithmetic number, because the mean of its divisors is an integer number (4620942144).

Almost surely, 2^226060807968 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 226060807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332707834368).

226060807968 is an abundant number, since it is smaller than the sum of its proper divisors (439354860768).

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

226060807968 is a wasteful number, since it uses less digits than its factorization.

226060807968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69407 (or 69396 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 226060807968 in words is "two hundred twenty-six billion, sixty million, eight hundred seven thousand, nine hundred sixty-eight".