225798326208 has 504 divisors, whose sum is σ = 840767866848. Its totient is φ = 56412205056.

The previous prime is 225798326197. The next prime is 225798326231. The reversal of 225798326208 is 802623897522.

225798326208 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 9 + 8 + 3 + 2 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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, 18916210 + ... + 18928142.

It is an arithmetic number, because the mean of its divisors is an integer number (1668190212).

Almost surely, 2^225798326208 is an apocalyptic number.

225798326208 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 225798326208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420383933424).

225798326208 is an abundant number, since it is smaller than the sum of its proper divisors (614969540640).

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

225798326208 is a wasteful number, since it uses less digits than its factorization.

225798326208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 225798326208 in words is "two hundred twenty-five billion, seven hundred ninety-eight million, three hundred twenty-six thousand, two hundred eight".