225106016460 has 384 divisors, whose sum is σ = 727176683520. Its totient is φ = 51541622784.

The previous prime is 225106016419. The next prime is 225106016503. The reversal of 225106016460 is 64610601522.

225106016460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 795427479 + ... + 795427761.

It is an arithmetic number, because the mean of its divisors is an integer number (1893689280).

Almost surely, 2^225106016460 is an apocalyptic number.

225106016460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225106016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363588341760).

225106016460 is an abundant number, since it is smaller than the sum of its proper divisors (502070667060).

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

225106016460 is a wasteful number, since it uses less digits than its factorization.

225106016460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 225106016460 its reverse (64610601522), we get a palindrome (289716617982).

The spelling of 225106016460 in words is "two hundred twenty-five billion, one hundred six million, sixteen thousand, four hundred sixty".