225131114540304 has 240 divisors, whose sum is σ = 720936023808000. Its totient is φ = 64245150756864.

The previous prime is 225131114540291. The next prime is 225131114540309. The reversal of 225131114540304 is 403045411131522.

225131114540304 is a `hidden beast` number, since 2 + 2 + 5 + 131 + 114 + 5 + 403 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225131114540309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4397667732 + ... + 4397718924.

It is an arithmetic number, because the mean of its divisors is an integer number (3003900099200).

Almost surely, 2^{225131114540304} is an apocalyptic number.

225131114540304 is a gapful number since it is divisible by the number (24) 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 225131114540304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360468011904000).

225131114540304 is an abundant number, since it is smaller than the sum of its proper divisors (495804909267696).

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

225131114540304 is a wasteful number, since it uses less digits than its factorization.

225131114540304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56422 (or 56413 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 225131114540304 its reverse (403045411131522), we get a palindrome (628176525671826).

The spelling of 225131114540304 in words is "two hundred twenty-five trillion, one hundred thirty-one billion, one hundred fourteen million, five hundred forty thousand, three hundred four".