13716630200 has 384 divisors, whose sum is σ = 42567275520. Its totient is φ = 3986841600.

The previous prime is 13716630173. The next prime is 13716630203. The reversal of 13716630200 is 203661731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13716630203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13303685 + ... + 13304715.

It is an arithmetic number, because the mean of its divisors is an integer number (110852280).

Almost surely, 2^13716630200 is an apocalyptic number.

13716630200 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 13716630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283637760).

13716630200 is an abundant number, since it is smaller than the sum of its proper divisors (28850645320).

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

13716630200 is a wasteful number, since it uses less digits than its factorization.

13716630200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 13716630200 in words is "thirteen billion, seven hundred sixteen million, six hundred thirty thousand, two hundred".