13823668800 has 504 divisors, whose sum is σ = 51295645440. Its totient is φ = 3526963200.

The previous prime is 13823668783. The next prime is 13823668819. The reversal of 13823668800 is 886632831.

13823668800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77227111 + ... + 77227289.

Almost surely, 2^13823668800 is an apocalyptic number.

13823668800 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 13823668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25647822720).

13823668800 is an abundant number, since it is smaller than the sum of its proper divisors (37471976640).

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

13823668800 is a wasteful number, since it uses less digits than its factorization.

13823668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13823668800 in words is "thirteen billion, eight hundred twenty-three million, six hundred sixty-eight thousand, eight hundred".