225818323632 has 640 divisors, whose sum is σ = 797948928000. Its totient is φ = 60313144320.

The previous prime is 225818323597. The next prime is 225818323691. The reversal of 225818323632 is 236323818522.

225818323632 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 1 + 8 + 3 + 2 + 3 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76833619 + ... + 76836557.

It is an arithmetic number, because the mean of its divisors is an integer number (1246795200).

Almost surely, 2^225818323632 is an apocalyptic number.

225818323632 is a gapful number since it is divisible by the number (22) 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 225818323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398974464000).

225818323632 is an abundant number, since it is smaller than the sum of its proper divisors (572130604368).

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

225818323632 is a wasteful number, since it uses less digits than its factorization.

225818323632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3034 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 225818323632 in words is "two hundred twenty-five billion, eight hundred eighteen million, three hundred twenty-three thousand, six hundred thirty-two".