13354710386688 has 864 divisors, whose sum is σ = 43963285766400. Its totient is φ = 3898515456000.

The previous prime is 13354710386681. The next prime is 13354710386783. The reversal of 13354710386688 is 88668301745331.

It is a happy number.

13354710386688 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 471 + 0 + 3 + 86 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (13354710386681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28969002778 + ... + 28969003238.

It is an arithmetic number, because the mean of its divisors is an integer number (50883432600).

Almost surely, 2^{13354710386688} is an apocalyptic number.

13354710386688 is a gapful number since it is divisible by the number (18) 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 13354710386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21981642883200).

13354710386688 is an abundant number, since it is smaller than the sum of its proper divisors (30608575379712).

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

13354710386688 is a wasteful number, since it uses less digits than its factorization.

13354710386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13354710386688 in words is "thirteen trillion, three hundred fifty-four billion, seven hundred ten million, three hundred eighty-six thousand, six hundred eighty-eight".