12839965786368 has 1008 divisors, whose sum is σ = 46609235850240. Its totient is φ = 3449107132416.

The previous prime is 12839965786363. The next prime is 12839965786397. The reversal of 12839965786368 is 86368756993821.

12839965786368 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 9 + 9 + 6 + 578 + 6 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×12839965786368² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (12839965786363) 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 111 ways as a sum of consecutive naturals, for example, 1772737755 + ... + 1772744997.

It is an arithmetic number, because the mean of its divisors is an integer number (46239321280).

Almost surely, 2^{12839965786368} is an apocalyptic number.

12839965786368 is a gapful number since it is divisible by the number (18) 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 12839965786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304617925120).

12839965786368 is an abundant number, since it is smaller than the sum of its proper divisors (33769270063872).

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

12839965786368 is an frugal number, since it uses more digits than its factorization.

12839965786368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7337 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 12839965786368 in words is "twelve trillion, eight hundred thirty-nine billion, nine hundred sixty-five million, seven hundred eighty-six thousand, three hundred sixty-eight".