13723338200 has 192 divisors, whose sum is σ = 38360044800. Its totient is φ = 4498905600.

The previous prime is 13723338197. The next prime is 13723338229. The reversal of 13723338200 is 283332731.

It is a super-2 number, since 2×13723338200² (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 47 ways as a sum of consecutive naturals, for example, 1224221 + ... + 1235379.

It is an arithmetic number, because the mean of its divisors is an integer number (199791900).

Almost surely, 2^13723338200 is an apocalyptic number.

13723338200 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 13723338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180022400).

13723338200 is an abundant number, since it is smaller than the sum of its proper divisors (24636706600).

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

13723338200 is a wasteful number, since it uses less digits than its factorization.

13723338200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 13723338200 in words is "thirteen billion, seven hundred twenty-three million, three hundred thirty-eight thousand, two hundred".