12867348139776 has 432 divisors, whose sum is σ = 40502992997376. Its totient is φ = 3905104379904.

The previous prime is 12867348139769. The next prime is 12867348139777. The reversal of 12867348139776 is 67793184376821.

12867348139776 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 73 + 481 + 3 + 9 + 7 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12867348139777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658065616 + ... + 658085168.

Almost surely, 2^{12867348139776} is an apocalyptic number.

12867348139776 is a gapful number since it is divisible by the number (16) 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 12867348139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20251496498688).

12867348139776 is an abundant number, since it is smaller than the sum of its proper divisors (27635644857600).

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

12867348139776 is a wasteful number, since it uses less digits than its factorization.

12867348139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 19871 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 12867348139776 in words is "twelve trillion, eight hundred sixty-seven billion, three hundred forty-eight million, one hundred thirty-nine thousand, seven hundred seventy-six".