12814084000 has 96 divisors (see below), whose sum is σ = 31603899600. Its totient is φ = 5106150400.

The previous prime is 12814083991. The next prime is 12814084037. The reversal of 12814084000 is 48041821.

It can be written as a sum of positive squares in 8 ways, for example, as 351487504 + 12462596496 = 18748^2 + 111636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12814084000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070046 + ... + 1081954.

Almost surely, 2^12814084000 is an apocalyptic number.

12814084000 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 12814084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801949800).

12814084000 is an abundant number, since it is smaller than the sum of its proper divisors (18789815600).

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

12814084000 is a wasteful number, since it uses less digits than its factorization.

12814084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12203 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 12814084000 in words is "twelve billion, eight hundred fourteen million, eighty-four thousand".