14368645188000 has 768 divisors, whose sum is σ = 53128092326400. Its totient is φ = 3771330969600.

The previous prime is 14368645187933. The next prime is 14368645188013. The reversal of 14368645188000 is 88154686341.

14368645188000 is a `hidden beast` number, since 1 + 4 + 3 + 68 + 64 + 518 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4485994399 + ... + 4485997601.

It is an arithmetic number, because the mean of its divisors is an integer number (69177203550).

Almost surely, 2^{14368645188000} is an apocalyptic number.

14368645188000 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 14368645188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26564046163200).

14368645188000 is an abundant number, since it is smaller than the sum of its proper divisors (38759447138400).

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

14368645188000 is a wasteful number, since it uses less digits than its factorization.

14368645188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14368645188000 in words is "fourteen trillion, three hundred sixty-eight billion, six hundred forty-five million, one hundred eighty-eight thousand".