225947766528 has 648 divisors, whose sum is σ = 782913156480. Its totient is φ = 61975203840.

The previous prime is 225947766431. The next prime is 225947766533. The reversal of 225947766528 is 825667749522.

225947766528 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 47 + 7 + 66 + 528 = 666.

Its product of digits (101606400) is a multiple of the sum of its prime divisors (945).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254732101 + ... + 254732987.

Almost surely, 2^225947766528 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 225947766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391456578240).

225947766528 is an abundant number, since it is smaller than the sum of its proper divisors (556965389952).

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

225947766528 is a wasteful number, since it uses less digits than its factorization.

225947766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 945 counting only the distinct ones).

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

The spelling of 225947766528 in words is "two hundred twenty-five billion, nine hundred forty-seven million, seven hundred sixty-six thousand, five hundred twenty-eight".