13218536448000 has 3360 divisors, whose sum is σ = 57044663387712. Its totient is φ = 3036413952000.

The previous prime is 13218536447927. The next prime is 13218536448001. The reversal of 13218536448000 is 84463581231.

13218536448000 is a `hidden beast` number, since 1 + 32 + 1 + 8 + 536 + 4 + 4 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13218536448001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 322403327980 + ... + 322403328020.

Almost surely, 2^{13218536448000} is an apocalyptic number.

13218536448000 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 13218536448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28522331693856).

13218536448000 is an abundant number, since it is smaller than the sum of its proper divisors (43826126939712).

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

13218536448000 is an equidigital number, since it uses as much as digits as its factorization.

13218536448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13218536448000 in words is "thirteen trillion, two hundred eighteen billion, five hundred thirty-six million, four hundred forty-eight thousand".