13846816704 has 196 divisors, whose sum is σ = 42812105384. Its totient is φ = 3949779456.

The previous prime is 13846816691. The next prime is 13846816759. The reversal of 13846816704 is 40761864831.

13846816704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (196).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 22588302 + ... + 22588914.

Almost surely, 2^13846816704 is an apocalyptic number.

13846816704 is a gapful number since it is divisible by the number (14) 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 13846816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406052692).

13846816704 is an abundant number, since it is smaller than the sum of its proper divisors (28965288680).

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

13846816704 is an frugal number, since it uses more digits than its factorization.

13846816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13846816704 in words is "thirteen billion, eight hundred forty-six million, eight hundred sixteen thousand, seven hundred four".