13817085114 has 64 divisors (see below), whose sum is σ = 33336898560. Its totient is φ = 3739884912.

The previous prime is 13817085109. The next prime is 13817085137. The reversal of 13817085114 is 41158071831.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 264097 + ... + 312059.

It is an arithmetic number, because the mean of its divisors is an integer number (520889040).

Almost surely, 2^13817085114 is an apocalyptic number.

13817085114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13817085114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668449280).

13817085114 is an abundant number, since it is smaller than the sum of its proper divisors (19519813446).

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

13817085114 is an equidigital number, since it uses as much as digits as its factorization.

13817085114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48032 (or 47994 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 13817085114 in words is "thirteen billion, eight hundred seventeen million, eighty-five thousand, one hundred fourteen".