225252416466 has 192 divisors, whose sum is σ = 618179807232. Its totient is φ = 57576960000.

The previous prime is 225252416461. The next prime is 225252416483. The reversal of 225252416466 is 664614252522.

225252416466 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 524 + 1 + 64 + 66 = 666.

225252416466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225252416466² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225252416461) 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 95 ways as a sum of consecutive naturals, for example, 63076461 + ... + 63080031.

It is an arithmetic number, because the mean of its divisors is an integer number (3219686496).

Almost surely, 2^225252416466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225252416466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309089903616).

225252416466 is an abundant number, since it is smaller than the sum of its proper divisors (392927390766).

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

225252416466 is a wasteful number, since it uses less digits than its factorization.

225252416466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4306 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 225252416466 its reverse (664614252522), we get a palindrome (889866668988).

The spelling of 225252416466 in words is "two hundred twenty-five billion, two hundred fifty-two million, four hundred sixteen thousand, four hundred sixty-six".