225054405072 has 640 divisors, whose sum is σ = 831203942400. Its totient is φ = 56751611904.

The previous prime is 225054405011. The next prime is 225054405073. The reversal of 225054405072 is 270504450522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225054405073) by changing a digit.

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, 100604338 + ... + 100606574.

It is an arithmetic number, because the mean of its divisors is an integer number (1298756160).

Almost surely, 2^225054405072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225054405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415601971200).

225054405072 is an abundant number, since it is smaller than the sum of its proper divisors (606149537328).

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

225054405072 is a wasteful number, since it uses less digits than its factorization.

225054405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Adding to 225054405072 its reverse (270504450522), we get a palindrome (495558855594).

The spelling of 225054405072 in words is "two hundred twenty-five billion, fifty-four million, four hundred five thousand, seventy-two".