225577919616 has 256 divisors, whose sum is σ = 695153664000. Its totient is φ = 63479549952.

The previous prime is 225577919599. The next prime is 225577919629. The reversal of 225577919616 is 616919775522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 225577919616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108086125 + ... + 108088211.

It is an arithmetic number, because the mean of its divisors is an integer number (2715444000).

Almost surely, 2^225577919616 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 225577919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347576832000).

225577919616 is an abundant number, since it is smaller than the sum of its proper divisors (469575744384).

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

225577919616 is a wasteful number, since it uses less digits than its factorization.

225577919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 60.

The spelling of 225577919616 in words is "two hundred twenty-five billion, five hundred seventy-seven million, nine hundred nineteen thousand, six hundred sixteen".