13413346800 has 960 divisors, whose sum is σ = 55796428800. Its totient is φ = 2683699200.

The previous prime is 13413346787. The next prime is 13413346811. The reversal of 13413346800 is 864331431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169789161 + ... + 169789239.

It is an arithmetic number, because the mean of its divisors is an integer number (58121280).

Almost surely, 2^13413346800 is an apocalyptic number.

13413346800 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 13413346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27898214400).

13413346800 is an abundant number, since it is smaller than the sum of its proper divisors (42383082000).

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

13413346800 is a wasteful number, since it uses less digits than its factorization.

13413346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 13413346800 in words is "thirteen billion, four hundred thirteen million, three hundred forty-six thousand, eight hundred".