226855680297792 has 448 divisors, whose sum is σ = 740028119900160. Its totient is φ = 59725444939776.

The previous prime is 226855680297781. The next prime is 226855680297793. The reversal of 226855680297792 is 297792086558622.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226855680297793) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32598887209 + ... + 32598894167.

It is an arithmetic number, because the mean of its divisors is an integer number (1651848481920).

Almost surely, 2^{226855680297792} 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 226855680297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370014059950080).

226855680297792 is an abundant number, since it is smaller than the sum of its proper divisors (513172439602368).

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

226855680297792 is a wasteful number, since it uses less digits than its factorization.

226855680297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 78.

The spelling of 226855680297792 in words is "two hundred twenty-six trillion, eight hundred fifty-five billion, six hundred eighty million, two hundred ninety-seven thousand, seven hundred ninety-two".