12173945472 has 192 divisors, whose sum is σ = 37812083400. Its totient is φ = 3737346048.

The previous prime is 12173945453. The next prime is 12173945519. The reversal of 12173945472 is 27454937121.

12173945472 is a `hidden beast` number, since 1 + 2 + 17 + 3 + 94 + 547 + 2 = 666.

12173945472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8313062976 + 3860882496 = 91176^2 + 62136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10976854 + ... + 10977962.

Almost surely, 2^12173945472 is an apocalyptic number.

12173945472 is a gapful number since it is divisible by the number (12) 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 12173945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906041700).

12173945472 is an abundant number, since it is smaller than the sum of its proper divisors (25638137928).

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

12173945472 is a wasteful number, since it uses less digits than its factorization.

12173945472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1860 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 12173945472 in words is "twelve billion, one hundred seventy-three million, nine hundred forty-five thousand, four hundred seventy-two".