225022427616 has 384 divisors, whose sum is σ = 739152691200. Its totient is φ = 58507868160.

The previous prime is 225022427603. The next prime is 225022427687. The reversal of 225022427616 is 616724220522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33487105 + ... + 33493823.

It is an arithmetic number, because the mean of its divisors is an integer number (1924876800).

Almost surely, 2^225022427616 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 225022427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369576345600).

225022427616 is an abundant number, since it is smaller than the sum of its proper divisors (514130263584).

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

225022427616 is a wasteful number, since it uses less digits than its factorization.

225022427616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 225022427616 in words is "two hundred twenty-five billion, twenty-two million, four hundred twenty-seven thousand, six hundred sixteen".