13347508027968 has 168 divisors, whose sum is σ = 39687705089760. Its totient is φ = 4447766246400.

The previous prime is 13347508027967. The next prime is 13347508027979. The reversal of 13347508027968 is 86972080574331.

13347508027968 is a `hidden beast` number, since 1 + 3 + 3 + 47 + 508 + 0 + 27 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13347508027961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49772643 + ... + 50040093.

It is an arithmetic number, because the mean of its divisors is an integer number (236236339820).

It is a 1-persistent number, because it is pandigital, but 2⋅13347508027968 = 26695016055936 is not.

Almost surely, 2^{13347508027968} is an apocalyptic number.

13347508027968 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 13347508027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843852544880).

13347508027968 is an abundant number, since it is smaller than the sum of its proper divisors (26340197061792).

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

13347508027968 is an equidigital number, since it uses as much as digits as its factorization.

13347508027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270687 (or 270665 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 13347508027968 in words is "thirteen trillion, three hundred forty-seven billion, five hundred eight million, twenty-seven thousand, nine hundred sixty-eight".