225174494160 has 1920 divisors, whose sum is σ = 1078696673280. Its totient is φ = 42500505600.

The previous prime is 225174494159. The next prime is 225174494201. The reversal of 225174494160 is 61494471522.

225174494160 is a `hidden beast` number, since 2 + 2 + 517 + 44 + 94 + 1 + 6 + 0 = 666.

225174494160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 613554297 + ... + 613554663.

It is an arithmetic number, because the mean of its divisors is an integer number (561821184).

Almost surely, 2^225174494160 is an apocalyptic number.

225174494160 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 225174494160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539348336640).

225174494160 is an abundant number, since it is smaller than the sum of its proper divisors (853522179120).

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

225174494160 is a wasteful number, since it uses less digits than its factorization.

225174494160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 225174494160 in words is "two hundred twenty-five billion, one hundred seventy-four million, four hundred ninety-four thousand, one hundred sixty".