13518368064 has 168 divisors, whose sum is σ = 41248584000. Its totient is φ = 4220688384.

The previous prime is 13518368047. The next prime is 13518368077. The reversal of 13518368064 is 46086381531.

13518368064 is a `hidden beast` number, since 13 + 518 + 3 + 68 + 0 + 64 = 666.

It is a super-2 number, since 2×13518368064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967077 + ... + 980955.

Almost surely, 2^13518368064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13518368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624292000).

13518368064 is an abundant number, since it is smaller than the sum of its proper divisors (27730215936).

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

13518368064 is a wasteful number, since it uses less digits than its factorization.

13518368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 13992 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13518368064 in words is "thirteen billion, five hundred eighteen million, three hundred sixty-eight thousand, sixty-four".