225171443160 has 320 divisors, whose sum is σ = 782930887200. Its totient is φ = 57998260224.

The previous prime is 225171443149. The next prime is 225171443173. The reversal of 225171443160 is 61344171522.

225171443160 is a `hidden beast` number, since 2 + 2 + 51 + 7 + 1 + 443 + 160 = 666.

225171443160 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 2×225171443160² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 16656564 + ... + 16670076.

Almost surely, 2^225171443160 is an apocalyptic number.

225171443160 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 225171443160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391465443600).

225171443160 is an abundant number, since it is smaller than the sum of its proper divisors (557759444040).

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

225171443160 is a wasteful number, since it uses less digits than its factorization.

225171443160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13699 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 225171443160 in words is "two hundred twenty-five billion, one hundred seventy-one million, four hundred forty-three thousand, one hundred sixty".