12344202816 has 112 divisors (see below), whose sum is σ = 35811927360. Its totient is φ = 3721553920.

The previous prime is 12344202779. The next prime is 12344202817. The reversal of 12344202816 is 61820244321.

12344202816 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 (33).

It is not an unprimeable number, because it can be changed into a prime (12344202817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401230 + ... + 430898.

Almost surely, 2^12344202816 is an apocalyptic number.

12344202816 is a gapful number since it is divisible by the number (16) 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 12344202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905963680).

12344202816 is an abundant number, since it is smaller than the sum of its proper divisors (23467724544).

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

12344202816 is a wasteful number, since it uses less digits than its factorization.

12344202816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29892 (or 29882 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 12344202816 in words is "twelve billion, three hundred forty-four million, two hundred two thousand, eight hundred sixteen".