225591667812 has 288 divisors, whose sum is σ = 704992780800. Its totient is φ = 62128249344.

The previous prime is 225591667771. The next prime is 225591667823. The reversal of 225591667812 is 218766195522.

225591667812 is a `hidden beast` number, since 2 + 2 + 559 + 1 + 6 + 6 + 7 + 81 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 158531733 + ... + 158533155.

It is an arithmetic number, because the mean of its divisors is an integer number (2447891600).

Almost surely, 2^225591667812 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 225591667812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352496390400).

225591667812 is an abundant number, since it is smaller than the sum of its proper divisors (479401112988).

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

225591667812 is a wasteful number, since it uses less digits than its factorization.

225591667812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2497 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 225591667812 in words is "two hundred twenty-five billion, five hundred ninety-one million, six hundred sixty-seven thousand, eight hundred twelve".