225817128768 has 448 divisors, whose sum is σ = 778746931200. Its totient is φ = 57215692800.

The previous prime is 225817128697. The next prime is 225817128787. The reversal of 225817128768 is 867821718522.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29697255 + ... + 29704857.

It is an arithmetic number, because the mean of its divisors is an integer number (1738274400).

Almost surely, 2^225817128768 is an apocalyptic number.

225817128768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225817128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389373465600).

225817128768 is an abundant number, since it is smaller than the sum of its proper divisors (552929802432).

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

225817128768 is a wasteful number, since it uses less digits than its factorization.

225817128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7667 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 57.

The spelling of 225817128768 in words is "two hundred twenty-five billion, eight hundred seventeen million, one hundred twenty-eight thousand, seven hundred sixty-eight".