226207641844800 has 2016 divisors, whose sum is σ = 1033211748501504. Its totient is φ = 45574631424000.

The previous prime is 226207641844763. The next prime is 226207641844819. The reversal of 226207641844800 is 8448146702622.

It is a happy number.

226207641844800 is a `hidden beast` number, since 2 + 2 + 6 + 20 + 7 + 64 + 1 + 84 + 480 + 0 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 6531923485 + ... + 6531958115.

Almost surely, 2^{226207641844800} is an apocalyptic number.

226207641844800 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 226207641844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516605874250752).

226207641844800 is an abundant number, since it is smaller than the sum of its proper divisors (807004106656704).

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

226207641844800 is a wasteful number, since it uses less digits than its factorization.

226207641844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34857 (or 34839 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 226207641844800 in words is "two hundred twenty-six trillion, two hundred seven billion, six hundred forty-one million, eight hundred forty-four thousand, eight hundred".