13710405316608 has 2496 divisors, whose sum is σ = 56028432051200. Its totient is φ = 3263561072640.

The previous prime is 13710405316577. The next prime is 13710405316627. The reversal of 13710405316608 is 80661350401731.

13710405316608 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 0 + 4 + 0 + 5 + 31 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98636009403 + ... + 98636009541.

Almost surely, 2^{13710405316608} is an apocalyptic number.

13710405316608 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 13710405316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28014216025600).

13710405316608 is an abundant number, since it is smaller than the sum of its proper divisors (42318026734592).

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

13710405316608 is an equidigital number, since it uses as much as digits as its factorization.

13710405316608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13710405316608 in words is "thirteen trillion, seven hundred ten billion, four hundred five million, three hundred sixteen thousand, six hundred eight".