225121251168 has 144 divisors (see below), whose sum is σ = 704160514512. Its totient is φ = 68218444800.

The previous prime is 225121251167. The next prime is 225121251169. The reversal of 225121251168 is 861152121522.

225121251168 is a `hidden beast` number, since 2 + 2 + 512 + 1 + 25 + 116 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (225121251167) and next prime (225121251169).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225121251167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89688 + ... + 676968.

It is an arithmetic number, because the mean of its divisors is an integer number (4890003573).

Almost surely, 2^225121251168 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 225121251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352080257256).

225121251168 is an abundant number, since it is smaller than the sum of its proper divisors (479039263344).

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

225121251168 is a wasteful number, since it uses less digits than its factorization.

225121251168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587330 (or 587297 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The spelling of 225121251168 in words is "two hundred twenty-five billion, one hundred twenty-one million, two hundred fifty-one thousand, one hundred sixty-eight".