13518384768 has 384 divisors, whose sum is σ = 48606704640. Its totient is φ = 3516825600.

The previous prime is 13518384767. The next prime is 13518384773. The reversal of 13518384768 is 86748381531.

It is a happy number.

13518384768 is a `hidden beast` number, since 135 + 1 + 8 + 38 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13518384767) 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 47 ways as a sum of consecutive naturals, for example, 4248138 + ... + 4251318.

It is an arithmetic number, because the mean of its divisors is an integer number (126579960).

Almost surely, 2^13518384768 is an apocalyptic number.

13518384768 is a gapful number since it is divisible by the number (18) 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 13518384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303352320).

13518384768 is an abundant number, since it is smaller than the sum of its proper divisors (35088319872).

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

13518384768 is a wasteful number, since it uses less digits than its factorization.

13518384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3241 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 13518384768 in words is "thirteen billion, five hundred eighteen million, three hundred eighty-four thousand, seven hundred sixty-eight".