12643746192 has 800 divisors, whose sum is σ = 50168574720. Its totient is φ = 2972712960.

The previous prime is 12643746169. The next prime is 12643746233. The reversal of 12643746192 is 29164734621.

12643746192 is a `hidden beast` number, since 1 + 26 + 4 + 3 + 7 + 4 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49197328 + ... + 49197584.

Almost surely, 2^12643746192 is an apocalyptic number.

12643746192 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 12643746192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084287360).

12643746192 is an abundant number, since it is smaller than the sum of its proper divisors (37524828528).

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

12643746192 is a wasteful number, since it uses less digits than its factorization.

12643746192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 12643746192 in words is "twelve billion, six hundred forty-three million, seven hundred forty-six thousand, one hundred ninety-two".