13518688512 has 144 divisors (see below), whose sum is σ = 41258319872. Its totient is φ = 3849431040.

The previous prime is 13518688511. The next prime is 13518688529. The reversal of 13518688512 is 21588681531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13518688511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646337 + ... + 1654527.

Almost surely, 2^13518688512 is an apocalyptic number.

13518688512 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 13518688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629159936).

13518688512 is an abundant number, since it is smaller than the sum of its proper divisors (27739631360).

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

13518688512 is an equidigital number, since it uses as much as digits as its factorization.

13518688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8510 counting only the distinct ones).

The product of its digits is 460800, while the sum is 48.

The spelling of 13518688512 in words is "thirteen billion, five hundred eighteen million, six hundred eighty-eight thousand, five hundred twelve".