225645776928 has 216 divisors, whose sum is σ = 758005925040. Its totient is φ = 63117550080.

The previous prime is 225645776891. The next prime is 225645776953. The reversal of 225645776928 is 829677546522.

225645776928 is a `hidden beast` number, since 2 + 2 + 56 + 4 + 577 + 6 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324663 + ... + 746121.

It is an arithmetic number, because the mean of its divisors is an integer number (3509286690).

Almost surely, 2^225645776928 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 225645776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379002962520).

225645776928 is an abundant number, since it is smaller than the sum of its proper divisors (532360148112).

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

225645776928 is a wasteful number, since it uses less digits than its factorization.

225645776928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421512 (or 421488 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 225645776928 in words is "two hundred twenty-five billion, six hundred forty-five million, seven hundred seventy-six thousand, nine hundred twenty-eight".