13868679132672 has 320 divisors, whose sum is σ = 45533682991104. Its totient is φ = 3652813946880.

The previous prime is 13868679132653. The next prime is 13868679132683. The reversal of 13868679132672 is 27623197686831.

It is a junction number, because it is equal to n+sod(n) for n = 13868679132597 and 13868679132606.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 105744897 + ... + 105875967.

Almost surely, 2^{13868679132672} is an apocalyptic number.

13868679132672 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 13868679132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766841495552).

13868679132672 is an abundant number, since it is smaller than the sum of its proper divisors (31665003858432).

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

13868679132672 is a wasteful number, since it uses less digits than its factorization.

13868679132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131869 (or 131853 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 13868679132672 in words is "thirteen trillion, eight hundred sixty-eight billion, six hundred seventy-nine million, one hundred thirty-two thousand, six hundred seventy-two".