225962666928 has 480 divisors, whose sum is σ = 718903719360. Its totient is φ = 67709952000.

The previous prime is 225962666921. The next prime is 225962666981. The reversal of 225962666928 is 829666269522.

225962666928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225962666921) 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 95 ways as a sum of consecutive naturals, for example, 712815826 + ... + 712816142.

It is an arithmetic number, because the mean of its divisors is an integer number (1497716082).

Almost surely, 2^225962666928 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 225962666928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359451859680).

225962666928 is an abundant number, since it is smaller than the sum of its proper divisors (492941052432).

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

225962666928 is a wasteful number, since it uses less digits than its factorization.

225962666928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 471 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 225962666928 in words is "two hundred twenty-five billion, nine hundred sixty-two million, six hundred sixty-six thousand, nine hundred twenty-eight".