13876840000 has 315 divisors, whose sum is σ = 37525715271. Its totient is φ = 5088960000.

The previous prime is 13876839989. The next prime is 13876840001. The reversal of 13876840000 is 4867831.

It is a happy number.

The square root of 13876840000 is 117800.

It is a perfect power (a square), and thus also a powerful number.

13876840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1087944256 + 12788895744 = 32984^2 + 113088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13876840001) 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 44 ways as a sum of consecutive naturals, for example, 447639985 + ... + 447640015.

Almost surely, 2^13876840000 is an apocalyptic number.

13876840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13876840000 is the 117800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876840000

13876840000 is an abundant number, since it is smaller than the sum of its proper divisors (23648875271).

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

13876840000 is an frugal number, since it uses more digits than its factorization.

13876840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 13876840000 in words is "thirteen billion, eight hundred seventy-six million, eight hundred forty thousand".