225982679069952 has 864 divisors, whose sum is σ = 792516319795200. Its totient is φ = 60494280081408.

The previous prime is 225982679069947. The next prime is 225982679070037. The reversal of 225982679069952 is 259960976289522.

225982679069952 is a `hidden beast` number, since 2 + 259 + 82 + 67 + 90 + 69 + 95 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11202224538 + ... + 11202244710.

Almost surely, 2^{225982679069952} 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 225982679069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396258159897600).

225982679069952 is an abundant number, since it is smaller than the sum of its proper divisors (566533640725248).

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

225982679069952 is a wasteful number, since it uses less digits than its factorization.

225982679069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20623 (or 20606 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 225982679069952 in words is "two hundred twenty-five trillion, nine hundred eighty-two billion, six hundred seventy-nine million, sixty-nine thousand, nine hundred fifty-two".