13429348200 has 288 divisors, whose sum is σ = 47724549600. Its totient is φ = 3374784000.

The previous prime is 13429348199. The next prime is 13429348223. The reversal of 13429348200 is 284392431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7215270 + ... + 7217130.

Almost surely, 2^13429348200 is an apocalyptic number.

13429348200 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 13429348200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23862274800).

13429348200 is an abundant number, since it is smaller than the sum of its proper divisors (34295201400).

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

13429348200 is a wasteful number, since it uses less digits than its factorization.

13429348200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13429348200 in words is "thirteen billion, four hundred twenty-nine million, three hundred forty-eight thousand, two hundred".