13818168000 has 1792 divisors, whose sum is σ = 67455897600. Its totient is φ = 2687385600.

The previous prime is 13818167989. The next prime is 13818168011. The reversal of 13818168000 is 86181831.

It is an interprime number because it is at equal distance from previous prime (13818167989) and next prime (13818168011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 373463982 + ... + 373464018.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^13818168000 is an apocalyptic number.

13818168000 is a gapful number since it is divisible by the number (10) 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 13818168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33727948800).

13818168000 is an abundant number, since it is smaller than the sum of its proper divisors (53637729600).

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

13818168000 is a wasteful number, since it uses less digits than its factorization.

13818168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 13818168000 in words is "thirteen billion, eight hundred eighteen million, one hundred sixty-eight thousand".