225322034542416 has 640 divisors, whose sum is σ = 757972629504000. Its totient is φ = 62750106279936.

The previous prime is 225322034542411. The next prime is 225322034542417. The reversal of 225322034542416 is 614245430223522.

225322034542416 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 2 + 203 + 4 + 5 + 424 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225322034542411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72943357000 + ... + 72943360088.

It is an arithmetic number, because the mean of its divisors is an integer number (1184332233600).

Almost surely, 2^{225322034542416} 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 225322034542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378986314752000).

225322034542416 is an abundant number, since it is smaller than the sum of its proper divisors (532650594961584).

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

225322034542416 is a wasteful number, since it uses less digits than its factorization.

225322034542416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 225322034542416 its reverse (614245430223522), we get a palindrome (839567464765938).

The spelling of 225322034542416 in words is "two hundred twenty-five trillion, three hundred twenty-two billion, thirty-four million, five hundred forty-two thousand, four hundred sixteen".