12342767391744 has 176 divisors, whose sum is σ = 33464607011328. Its totient is φ = 4043670478848.

The previous prime is 12342767391743. The next prime is 12342767391767. The reversal of 12342767391744 is 44719376724321.

It is a super-3 number, since 3×12342767391744³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342767391743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91112349 + ... + 91247715.

Almost surely, 2^{12342767391744} 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 12342767391744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732303505664).

12342767391744 is an abundant number, since it is smaller than the sum of its proper divisors (21121839619584).

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

12342767391744 is a wasteful number, since it uses less digits than its factorization.

12342767391744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135900 (or 135882 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 60.

The spelling of 12342767391744 in words is "twelve trillion, three hundred forty-two billion, seven hundred sixty-seven million, three hundred ninety-one thousand, seven hundred forty-four".