13708106496 has 288 divisors, whose sum is σ = 46505088000. Its totient is φ = 3901685760.

The previous prime is 13708106479. The next prime is 13708106497. The reversal of 13708106496 is 69460180731.

It is a happy number.

13708106496 is a `hidden beast` number, since 13 + 70 + 81 + 0 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13708106497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21724101 + ... + 21724731.

It is an arithmetic number, because the mean of its divisors is an integer number (161476000).

Almost surely, 2^13708106496 is an apocalyptic number.

13708106496 is a gapful number since it is divisible by the number (16) 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 13708106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252544000).

13708106496 is an abundant number, since it is smaller than the sum of its proper divisors (32796981504).

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

13708106496 is an equidigital number, since it uses as much as digits as its factorization.

13708106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13708106496 in words is "thirteen billion, seven hundred eight million, one hundred six thousand, four hundred ninety-six".