13718508400008 has 256 divisors, whose sum is σ = 39070972512000. Its totient is φ = 4458546892800.

The previous prime is 13718508399971. The next prime is 13718508400013. The reversal of 13718508400008 is 80000480581731.

It is a happy number.

13718508400008 is a `hidden beast` number, since 137 + 1 + 8 + 508 + 4 + 0 + 0 + 0 + 0 + 8 = 666.

13718508400008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13718508400008² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1741586566 + ... + 1741594442.

It is an arithmetic number, because the mean of its divisors is an integer number (152620986375).

Almost surely, 2^{13718508400008} is an apocalyptic number.

13718508400008 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 13718508400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535486256000).

13718508400008 is an abundant number, since it is smaller than the sum of its proper divisors (25352464111992).

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

13718508400008 is a wasteful number, since it uses less digits than its factorization.

13718508400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 13718508400008 its reverse (80000480581731), we get a palindrome (93718988981739).

The spelling of 13718508400008 in words is "thirteen trillion, seven hundred eighteen billion, five hundred eight million, four hundred thousand, eight".