13856832000 has 800 divisors, whose sum is σ = 56540113344. Its totient is φ = 3359232000.

The previous prime is 13856831953. The next prime is 13856832049. The reversal of 13856832000 is 23865831.

13856832000 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 (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 1259711995 + ... + 1259712005.

Almost surely, 2^13856832000 is an apocalyptic number.

13856832000 is a gapful number since it is divisible by the number (10) 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 13856832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28270056672).

13856832000 is an abundant number, since it is smaller than the sum of its proper divisors (42683281344).

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

13856832000 is an frugal number, since it uses more digits than its factorization.

13856832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13856832000 in words is "thirteen billion, eight hundred fifty-six million, eight hundred thirty-two thousand".