13816100185008 has 160 divisors (see below), whose sum is σ = 41009262024960. Its totient is φ = 3964050846720.

The previous prime is 13816100185007. The next prime is 13816100185037. The reversal of 13816100185008 is 80058100161831.

It is a super-3 number, since 3×13816100185008³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13816100185003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16988110 + ... + 17782802.

It is an arithmetic number, because the mean of its divisors is an integer number (256307887656).

Almost surely, 2^{13816100185008} 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 13816100185008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504631012480).

13816100185008 is an abundant number, since it is smaller than the sum of its proper divisors (27193161839952).

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

13816100185008 is a wasteful number, since it uses less digits than its factorization.

13816100185008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796467 (or 796461 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 13816100185008 in words is "thirteen trillion, eight hundred sixteen billion, one hundred million, one hundred eighty-five thousand, eight".