225773372416 has 88 divisors (see below), whose sum is σ = 469271392920. Its totient is φ = 108437962752.

The previous prime is 225773372401. The next prime is 225773372431. The reversal of 225773372416 is 614273377522.

It is an interprime number because it is at equal distance from previous prime (225773372401) and next prime (225773372431).

It can be written as a sum of positive squares in 4 ways, for example, as 121728418816 + 104044953600 = 348896^2 + 322560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225773372416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5830816 + ... + 5869408.

It is an arithmetic number, because the mean of its divisors is an integer number (5332629465).

Almost surely, 2^225773372416 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 225773372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635696460).

225773372416 is an abundant number, since it is smaller than the sum of its proper divisors (243498020504).

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

225773372416 is a wasteful number, since it uses less digits than its factorization.

225773372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38839 (or 38821 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 49.

The spelling of 225773372416 in words is "two hundred twenty-five billion, seven hundred seventy-three million, three hundred seventy-two thousand, four hundred sixteen".