12714598400 has 336 divisors, whose sum is σ = 36973154400. Its totient is φ = 4335206400.

The previous prime is 12714598397. The next prime is 12714598411. The reversal of 12714598400 is 489541721.

It is a super-2 number, since 2×12714598400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70246310 + ... + 70246490.

It is an arithmetic number, because the mean of its divisors is an integer number (110039150).

Almost surely, 2^12714598400 is an apocalyptic number.

12714598400 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 12714598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486577200).

12714598400 is an abundant number, since it is smaller than the sum of its proper divisors (24258556000).

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

12714598400 is an frugal number, since it uses more digits than its factorization.

12714598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 12714598400 in words is "twelve billion, seven hundred fourteen million, five hundred ninety-eight thousand, four hundred".