13808031907968 has 1152 divisors, whose sum is σ = 45989272929600. Its totient is φ = 4109908377600.

The previous prime is 13808031907951. The next prime is 13808031907973. The reversal of 13808031907968 is 86970913080831.

13808031907968 is a `hidden beast` number, since 1 + 380 + 8 + 0 + 3 + 190 + 7 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23285045080 + ... + 23285045672.

Almost surely, 2^{13808031907968} is an apocalyptic number.

13808031907968 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 13808031907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22994636464800).

13808031907968 is an abundant number, since it is smaller than the sum of its proper divisors (32181241021632).

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

13808031907968 is an equidigital number, since it uses as much as digits as its factorization.

13808031907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 13808031907968 in words is "thirteen trillion, eight hundred eight billion, thirty-one million, nine hundred seven thousand, nine hundred sixty-eight".