225255642031332 has 288 divisors, whose sum is σ = 679861683446400. Its totient is φ = 64226167695360.

The previous prime is 225255642031331. The next prime is 225255642031373. The reversal of 225255642031332 is 233130246552522.

225255642031332 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 564 + 20 + 31 + 3 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (225255642031331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809175144 + ... + 809453472.

It is an arithmetic number, because the mean of its divisors is an integer number (2360630845300).

Almost surely, 2^{225255642031332} is an apocalyptic number.

225255642031332 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 225255642031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339930841723200).

225255642031332 is an abundant number, since it is smaller than the sum of its proper divisors (454606041415068).

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

225255642031332 is a wasteful number, since it uses less digits than its factorization.

225255642031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282024 (or 282005 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 225255642031332 its reverse (233130246552522), we get a palindrome (458385888583854).

The spelling of 225255642031332 in words is "two hundred twenty-five trillion, two hundred fifty-five billion, six hundred forty-two million, thirty-one thousand, three hundred thirty-two".