226763568316800 has 768 divisors, whose sum is σ = 891824271379200. Its totient is φ = 56063734087680.

The previous prime is 226763568316763. The next prime is 226763568316819. The reversal of 226763568316800 is 8613865367622.

226763568316800 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 6 + 3 + 568 + 3 + 1 + 68 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97257459 + ... + 99561741.

It is an arithmetic number, because the mean of its divisors is an integer number (1161229520025).

Almost surely, 2^{226763568316800} is an apocalyptic number.

226763568316800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226763568316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445912135689600).

226763568316800 is an abundant number, since it is smaller than the sum of its proper divisors (665060703062400).

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

226763568316800 is a wasteful number, since it uses less digits than its factorization.

226763568316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304400 (or 2304377 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 226763568316800 in words is "two hundred twenty-six trillion, seven hundred sixty-three billion, five hundred sixty-eight million, three hundred sixteen thousand, eight hundred".