225060230016 has 384 divisors, whose sum is σ = 715887244800. Its totient is φ = 67549261824.

The previous prime is 225060229951. The next prime is 225060230033. The reversal of 225060230016 is 610032060522.

225060230016 is a `hidden beast` number, since 2 + 2 + 50 + 602 + 3 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84070470 + ... + 84073146.

It is an arithmetic number, because the mean of its divisors is an integer number (1864289700).

Almost surely, 2^225060230016 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 225060230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357943622400).

225060230016 is an abundant number, since it is smaller than the sum of its proper divisors (490827014784).

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

225060230016 is a wasteful number, since it uses less digits than its factorization.

225060230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 225060230016 its reverse (610032060522), we get a palindrome (835092290538).

The spelling of 225060230016 in words is "two hundred twenty-five billion, sixty million, two hundred thirty thousand, sixteen".