13634386907328 has 1344 divisors, whose sum is σ = 47449898496000. Its totient is φ = 3838527221760.

The previous prime is 13634386907327. The next prime is 13634386907353. The reversal of 13634386907328 is 82370968343631.

13634386907328 is a `hidden beast` number, since 1 + 363 + 43 + 86 + 90 + 73 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13634386907327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68514506973 + ... + 68514507171.

It is an arithmetic number, because the mean of its divisors is an integer number (35304984000).

Almost surely, 2^{13634386907328} is an apocalyptic number.

13634386907328 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 13634386907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23724949248000).

13634386907328 is an abundant number, since it is smaller than the sum of its proper divisors (33815511588672).

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

13634386907328 is a wasteful number, since it uses less digits than its factorization.

13634386907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 13634386907328 in words is "thirteen trillion, six hundred thirty-four billion, three hundred eighty-six million, nine hundred seven thousand, three hundred twenty-eight".