12442393267808 has 192 divisors, whose sum is σ = 29385495207936. Its totient is φ = 5073546240000.

The previous prime is 12442393267789. The next prime is 12442393267841. The reversal of 12442393267808 is 80876239324421.

It is a super-3 number, since 3×12442393267808³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186453541 + ... + 1186464027.

It is an arithmetic number, because the mean of its divisors is an integer number (153049454208).

Almost surely, 2^{12442393267808} 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 12442393267808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692747603968).

12442393267808 is an abundant number, since it is smaller than the sum of its proper divisors (16943101940128).

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

12442393267808 is a wasteful number, since it uses less digits than its factorization.

12442393267808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 59.

The spelling of 12442393267808 in words is "twelve trillion, four hundred forty-two billion, three hundred ninety-three million, two hundred sixty-seven thousand, eight hundred eight".