12046330041344 has 88 divisors (see below), whose sum is σ = 24113908915200. Its totient is φ = 6014915010560.

The previous prime is 12046330041341. The next prime is 12046330041391. The reversal of 12046330041344 is 44314003364021.

It is a happy number.

It is a super-3 number, since 3×12046330041344³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12046330041341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4184204897 + ... + 4184207775.

Almost surely, 2^{12046330041344} 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 12046330041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056954457600).

12046330041344 is an abundant number, since it is smaller than the sum of its proper divisors (12067578873856).

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

12046330041344 is a wasteful number, since it uses less digits than its factorization.

12046330041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 12046330041344 in words is "twelve trillion, forty-six billion, three hundred thirty million, forty-one thousand, three hundred forty-four".