225662663646 has 192 divisors, whose sum is σ = 587332601856. Its totient is φ = 61271078400.

The previous prime is 225662663581. The next prime is 225662663651. The reversal of 225662663646 is 646366266522.

225662663646 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 626 + 6 + 3 + 6 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225662663592 and 225662663601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95740300 + ... + 95742656.

It is an arithmetic number, because the mean of its divisors is an integer number (3059023968).

Almost surely, 2^225662663646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225662663646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293666300928).

225662663646 is an abundant number, since it is smaller than the sum of its proper divisors (361669938210).

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

225662663646 is a wasteful number, since it uses less digits than its factorization.

225662663646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2884 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 225662663646 in words is "two hundred twenty-five billion, six hundred sixty-two million, six hundred sixty-three thousand, six hundred forty-six".