13218231894400 has 384 divisors, whose sum is σ = 35840931033600. Its totient is φ = 4787376168960.

The previous prime is 13218231894359. The next prime is 13218231894463. The reversal of 13218231894400 is 449813281231.

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, 666130879 + ... + 666150721.

It is an arithmetic number, because the mean of its divisors is an integer number (93335757900).

Almost surely, 2^{13218231894400} is an apocalyptic number.

13218231894400 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 13218231894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920465516800).

13218231894400 is an abundant number, since it is smaller than the sum of its proper divisors (22622699139200).

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

13218231894400 is a wasteful number, since it uses less digits than its factorization.

13218231894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20186 (or 20169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 13218231894400 in words is "thirteen trillion, two hundred eighteen billion, two hundred thirty-one million, eight hundred ninety-four thousand, four hundred".