13493710679328 has 144 divisors (see below), whose sum is σ = 44064390333600. Its totient is φ = 3873792522240.

The previous prime is 13493710679269. The next prime is 13493710679329. The reversal of 13493710679328 is 82397601739431.

It is a happy number.

13493710679328 is a `hidden beast` number, since 1 + 3 + 493 + 7 + 106 + 7 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13493710679329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112028713 + ... + 112149096.

It is an arithmetic number, because the mean of its divisors is an integer number (306002710650).

Almost surely, 2^{13493710679328} is an apocalyptic number.

13493710679328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13493710679328 is an abundant number, since it is smaller than the sum of its proper divisors (30570679654272).

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

13493710679328 is a wasteful number, since it uses less digits than its factorization.

13493710679328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224177855 (or 224177844 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 13493710679328 in words is "thirteen trillion, four hundred ninety-three billion, seven hundred ten million, six hundred seventy-nine thousand, three hundred twenty-eight".