226065003744000 has 288 divisors, whose sum is σ = 750907577871360. Its totient is φ = 60281378304000.

The previous prime is 226065003743977. The next prime is 226065003744017. The reversal of 226065003744000 is 447300560622.

It is a super-2 number, since 2×226065003744000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226065003744000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3342590185 + ... + 3342657815.

It is an arithmetic number, because the mean of its divisors is an integer number (2607317978720).

Almost surely, 2^{226065003744000} is an apocalyptic number.

226065003744000 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 226065003744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375453788935680).

226065003744000 is an abundant number, since it is smaller than the sum of its proper divisors (524842574127360).

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

226065003744000 is an equidigital number, since it uses as much as digits as its factorization.

226065003744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102484 (or 102460 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 226065003744000 in words is "two hundred twenty-six trillion, sixty-five billion, three million, seven hundred forty-four thousand".