13518938112 has 224 divisors, whose sum is σ = 37453897152. Its totient is φ = 4334813184.

The previous prime is 13518938099. The next prime is 13518938119. The reversal of 13518938112 is 21183981531.

It is a super-2 number, since 2×13518938112² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13518938119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 126345163 + ... + 126345269.

It is an arithmetic number, because the mean of its divisors is an integer number (167204898).

Almost surely, 2^13518938112 is an apocalyptic number.

13518938112 is a gapful number since it is divisible by the number (12) 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 13518938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726948576).

13518938112 is an abundant number, since it is smaller than the sum of its proper divisors (23934959040).

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

13518938112 is an equidigital number, since it uses as much as digits as its factorization.

13518938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The spelling of 13518938112 in words is "thirteen billion, five hundred eighteen million, nine hundred thirty-eight thousand, one hundred twelve".