12669344980992 has 784 divisors, whose sum is σ = 44594070945792. Its totient is φ = 3521550090240.

The previous prime is 12669344980991. The next prime is 12669344981021. The reversal of 12669344980992 is 29908944396621.

12669344980992 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 93 + 449 + 8 + 0 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12669344980992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12669344980991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1546735617 + ... + 1546743807.

Almost surely, 2^{12669344980992} is an apocalyptic number.

12669344980992 is a gapful number since it is divisible by the number (12) 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 12669344980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297035472896).

12669344980992 is an abundant number, since it is smaller than the sum of its proper divisors (31924725964800).

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

12669344980992 is an frugal number, since it uses more digits than its factorization.

12669344980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 12669344980992 in words is "twelve trillion, six hundred sixty-nine billion, three hundred forty-four million, nine hundred eighty thousand, nine hundred ninety-two".