13468384800 has 432 divisors, whose sum is σ = 52542027720. Its totient is φ = 3224862720.

The previous prime is 13468384799. The next prime is 13468384817. The reversal of 13468384800 is 848386431.

13468384800 is a `hidden beast` number, since 134 + 6 + 8 + 38 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2039064336 + 11429320464 = 45156^2 + 106908^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3461256 + ... + 3465144.

Almost surely, 2^13468384800 is an apocalyptic number.

13468384800 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 13468384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26271013860).

13468384800 is an abundant number, since it is smaller than the sum of its proper divisors (39073642920).

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

13468384800 is a wasteful number, since it uses less digits than its factorization.

13468384800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13468384800 in words is "thirteen billion, four hundred sixty-eight million, three hundred eighty-four thousand, eight hundred".