226825235712 has 504 divisors, whose sum is σ = 705990944736. Its totient is φ = 72640032768.

The previous prime is 226825235711. The next prime is 226825235761. The reversal of 226825235712 is 217532528622.

226825235712 is a `hidden beast` number, since 2 + 2 + 68 + 2 + 523 + 57 + 12 = 666.

226825235712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226825235711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 738844263 + ... + 738844569.

It is an arithmetic number, because the mean of its divisors is an integer number (1400775684).

Almost surely, 2^226825235712 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 226825235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352995472368).

226825235712 is an abundant number, since it is smaller than the sum of its proper divisors (479165709024).

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

226825235712 is an equidigital number, since it uses as much as digits as its factorization.

226825235712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 226825235712 in words is "two hundred twenty-six billion, eight hundred twenty-five million, two hundred thirty-five thousand, seven hundred twelve".