13839728990976 has 216 divisors, whose sum is σ = 45781289727264. Its totient is φ = 3938821079040.

The previous prime is 13839728990851. The next prime is 13839728990977. The reversal of 13839728990976 is 67909982793831.

13839728990976 is a `hidden beast` number, since 1 + 3 + 83 + 97 + 289 + 90 + 97 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13839728990895 and 13839728990904.

It is not an unprimeable number, because it can be changed into a prime (13839728990977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475406 + ... + 5814386.

It is an arithmetic number, because the mean of its divisors is an integer number (211950415404).

Almost surely, 2^{13839728990976} is an apocalyptic number.

13839728990976 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 13839728990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890644863632).

13839728990976 is an abundant number, since it is smaller than the sum of its proper divisors (31941560736288).

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

13839728990976 is a wasteful number, since it uses less digits than its factorization.

13839728990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339267 (or 3339250 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 13839728990976 in words is "thirteen trillion, eight hundred thirty-nine billion, seven hundred twenty-eight million, nine hundred ninety thousand, nine hundred seventy-six".