13814806848 has 112 divisors (see below), whose sum is σ = 38601432576. Its totient is φ = 4351536640.

The previous prime is 13814806847. The next prime is 13814806853. The reversal of 13814806848 is 84860841831.

13814806848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13814806848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814806847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347683 + ... + 385373.

It is an arithmetic number, because the mean of its divisors is an integer number (344655648).

Almost surely, 2^13814806848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300716288).

13814806848 is an abundant number, since it is smaller than the sum of its proper divisors (24786625728).

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

13814806848 is a wasteful number, since it uses less digits than its factorization.

13814806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37812 (or 37802 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 13814806848 in words is "thirteen billion, eight hundred fourteen million, eight hundred six thousand, eight hundred forty-eight".