13873511808 has 192 divisors, whose sum is σ = 45257175600. Its totient is φ = 4044017664.

The previous prime is 13873511797. The next prime is 13873511849. The reversal of 13873511808 is 80811537831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 260166 + ... + 308922.

Almost surely, 2^13873511808 is an apocalyptic number.

13873511808 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 13873511808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628587800).

13873511808 is an abundant number, since it is smaller than the sum of its proper divisors (31383663792).

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

13873511808 is a wasteful number, since it uses less digits than its factorization.

13873511808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48809 (or 48794 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 13873511808 in words is "thirteen billion, eight hundred seventy-three million, five hundred eleven thousand, eight hundred eight".