13334360681376 has 432 divisors, whose sum is σ = 47041405931520. Its totient is φ = 3559905054720.

The previous prime is 13334360681311. The next prime is 13334360681377. The reversal of 13334360681376 is 67318606343331.

13334360681376 is a `hidden beast` number, since 13 + 3 + 3 + 4 + 3 + 606 + 8 + 13 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (13334360681377) 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 71 ways as a sum of consecutive naturals, for example, 33146721 + ... + 33546591.

It is an arithmetic number, because the mean of its divisors is an integer number (108892143360).

Almost surely, 2^{13334360681376} is an apocalyptic number.

13334360681376 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 13334360681376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520702965760).

13334360681376 is an abundant number, since it is smaller than the sum of its proper divisors (33707045250144).

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

13334360681376 is a wasteful number, since it uses less digits than its factorization.

13334360681376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400057 (or 400039 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 13334360681376 in words is "thirteen trillion, three hundred thirty-four billion, three hundred sixty million, six hundred eighty-one thousand, three hundred seventy-six".