13118418869904 has 640 divisors, whose sum is σ = 41973313536000. Its totient is φ = 3905904457728.

The previous prime is 13118418869903. The next prime is 13118418869911. The reversal of 13118418869904 is 40996881481131.

13118418869904 is a `hidden beast` number, since 1 + 311 + 84 + 188 + 69 + 9 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13118418869903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2813297877 + ... + 2813302539.

It is an arithmetic number, because the mean of its divisors is an integer number (65583302400).

Almost surely, 2^{13118418869904} 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 13118418869904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986656768000).

13118418869904 is an abundant number, since it is smaller than the sum of its proper divisors (28854894666096).

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

13118418869904 is a wasteful number, since it uses less digits than its factorization.

13118418869904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 13118418869904 in words is "thirteen trillion, one hundred eighteen billion, four hundred eighteen million, eight hundred sixty-nine thousand, nine hundred four".