12664342432 has 144 divisors (see below), whose sum is σ = 30371931072. Its totient is φ = 5173217280.

The previous prime is 12664342417. The next prime is 12664342447. The reversal of 12664342432 is 23424346621.

12664342432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12664342417) and next prime (12664342447).

It is a super-3 number, since 3×12664342432³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12664342391 and 12664342400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15615307 + ... + 15616117.

It is an arithmetic number, because the mean of its divisors is an integer number (210916188).

Almost surely, 2^12664342432 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 12664342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185965536).

12664342432 is an abundant number, since it is smaller than the sum of its proper divisors (17707588640).

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

12664342432 is a wasteful number, since it uses less digits than its factorization.

12664342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

The spelling of 12664342432 in words is "twelve billion, six hundred sixty-four million, three hundred forty-two thousand, four hundred thirty-two".