226800224659008 has 2016 divisors, whose sum is σ = 961560636761088. Its totient is φ = 51177974169600.

The previous prime is 226800224658971. The next prime is 226800224659039. The reversal of 226800224659008 is 800956422008622.

It is a happy number.

226800224659008 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 0 + 0 + 2 + 2 + 46 + 590 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4498997323 + ... + 4499047733.

It is an arithmetic number, because the mean of its divisors is an integer number (476964601568).

Almost surely, 2^{226800224659008} is an apocalyptic number.

226800224659008 is a gapful number since it is divisible by the number (28) 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 226800224659008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480780318380544).

226800224659008 is an abundant number, since it is smaller than the sum of its proper divisors (734760412102080).

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

226800224659008 is a wasteful number, since it uses less digits than its factorization.

226800224659008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50503 (or 50464 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 226800224659008 in words is "two hundred twenty-six trillion, eight hundred billion, two hundred twenty-four million, six hundred fifty-nine thousand, eight".