225323255316300 has 288 divisors, whose sum is σ = 692917325452800. Its totient is φ = 56443010211840.

The previous prime is 225323255316281. The next prime is 225323255316317. The reversal of 225323255316300 is 3613552323522.

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, 47527369 + ... + 52052831.

It is an arithmetic number, because the mean of its divisors is an integer number (2405962935600).

Almost surely, 2^{225323255316300} is an apocalyptic number.

225323255316300 is a gapful number since it is divisible by the number (20) 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 225323255316300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346458662726400).

225323255316300 is an abundant number, since it is smaller than the sum of its proper divisors (467594070136500).

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

225323255316300 is a wasteful number, since it uses less digits than its factorization.

225323255316300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525665 (or 4525658 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 225323255316300 in words is "two hundred twenty-five trillion, three hundred twenty-three billion, two hundred fifty-five million, three hundred sixteen thousand, three hundred".