225650389328896 has 99 divisors (see below), whose sum is σ = 524734024035657. Its totient is φ = 96705867632640.

The previous prime is 225650389328779. The next prime is 225650389328899. The reversal of 225650389328896 is 698823983056522.

The square root of 225650389328896 is 15021664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75299631031296 + 150350758297600 = 8677536^2 + 12261760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225650389328899) 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 8 ways as a sum of consecutive naturals, for example, 3364819206 + ... + 3364886266.

Almost surely, 2^{225650389328896} is an apocalyptic number.

225650389328896 is the 15021664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225650389328896

225650389328896 is an abundant number, since it is smaller than the sum of its proper divisors (299083634706761).

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

225650389328896 is an frugal number, since it uses more digits than its factorization.

225650389328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134156 (or 67070 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 76.

The spelling of 225650389328896 in words is "two hundred twenty-five trillion, six hundred fifty billion, three hundred eighty-nine million, three hundred twenty-eight thousand, eight hundred ninety-six".