13384235366656 has 216 divisors, whose sum is σ = 34624652743296. Its totient is φ = 5103684956160.

The previous prime is 13384235366641. The next prime is 13384235366737. The reversal of 13384235366656 is 65666353248331.

It is a junction number, because it is equal to n+sod(n) for n = 13384235366594 and 13384235366603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5453350 + ... + 7517146.

It is an arithmetic number, because the mean of its divisors is an integer number (160299318256).

Almost surely, 2^{13384235366656} is an apocalyptic number.

13384235366656 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 13384235366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312326371648).

13384235366656 is an abundant number, since it is smaller than the sum of its proper divisors (21240417376640).

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

13384235366656 is a wasteful number, since it uses less digits than its factorization.

13384235366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063885 (or 2063864 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 61.

The spelling of 13384235366656 in words is "thirteen trillion, three hundred eighty-four billion, two hundred thirty-five million, three hundred sixty-six thousand, six hundred fifty-six".