12864634944 has 448 divisors, whose sum is σ = 43652431872. Its totient is φ = 3258777600.

The previous prime is 12864634943. The next prime is 12864634957. The reversal of 12864634944 is 44943646821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12864634943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29039587 + ... + 29040029.

It is an arithmetic number, because the mean of its divisors is an integer number (97438464).

Almost surely, 2^12864634944 is an apocalyptic number.

12864634944 is a gapful number since it is divisible by the number (14) 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 12864634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21826215936).

12864634944 is an abundant number, since it is smaller than the sum of its proper divisors (30787796928).

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

12864634944 is a wasteful number, since it uses less digits than its factorization.

12864634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 12864634944 in words is "twelve billion, eight hundred sixty-four million, six hundred thirty-four thousand, nine hundred forty-four".