12344511666784 has 192 divisors, whose sum is σ = 27827467315200. Its totient is φ = 5338603468800.

The previous prime is 12344511666779. The next prime is 12344511666791. The reversal of 12344511666784 is 48766611544321.

It is a happy number.

12344511666784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 2114145337 + ... + 2114151175.

It is an arithmetic number, because the mean of its divisors is an integer number (144934725600).

Almost surely, 2^{12344511666784} 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 12344511666784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913733657600).

12344511666784 is an abundant number, since it is smaller than the sum of its proper divisors (15482955648416).

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

12344511666784 is a wasteful number, since it uses less digits than its factorization.

12344511666784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8869 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 58.

The spelling of 12344511666784 in words is "twelve trillion, three hundred forty-four billion, five hundred eleven million, six hundred sixty-six thousand, seven hundred eighty-four".