12929480659368 has 1152 divisors, whose sum is σ = 48849987513600. Its totient is φ = 3047369859072.

The previous prime is 12929480659283. The next prime is 12929480659369. The reversal of 12929480659368 is 86395608492921.

12929480659368 is a `hidden beast` number, since 1 + 2 + 9 + 29 + 4 + 8 + 0 + 6 + 593 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12929480659296 and 12929480659305.

It is not an unprimeable number, because it can be changed into a prime (12929480659369) 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 287 ways as a sum of consecutive naturals, for example, 1463103046 + ... + 1463111882.

It is an arithmetic number, because the mean of its divisors is an integer number (42404503050).

Almost surely, 2^{12929480659368} is an apocalyptic number.

12929480659368 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 12929480659368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424993756800).

12929480659368 is an abundant number, since it is smaller than the sum of its proper divisors (35920506854232).

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

12929480659368 is a wasteful number, since it uses less digits than its factorization.

12929480659368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 12929480659368 in words is "twelve trillion, nine hundred twenty-nine billion, four hundred eighty million, six hundred fifty-nine thousand, three hundred sixty-eight".