13218709504 has 384 divisors, whose sum is σ = 36842204160. Its totient is φ = 4600627200.

The previous prime is 13218709463. The next prime is 13218709513. The reversal of 13218709504 is 40590781231.

It is a super-2 number, since 2×13218709504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426409969 + ... + 426409999.

It is an arithmetic number, because the mean of its divisors is an integer number (95943240).

Almost surely, 2^13218709504 is an apocalyptic number.

13218709504 is a gapful number since it is divisible by the number (14) 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 13218709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421102080).

13218709504 is an abundant number, since it is smaller than the sum of its proper divisors (23623494656).

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

13218709504 is an equidigital number, since it uses as much as digits as its factorization.

13218709504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 13218709504 in words is "thirteen billion, two hundred eighteen million, seven hundred nine thousand, five hundred four".