14318136231168 has 288 divisors, whose sum is σ = 47518531587072. Its totient is φ = 3718342656000.

The previous prime is 14318136231143. The next prime is 14318136231181. The reversal of 14318136231168 is 86113263181341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399918868 + ... + 399954668.

It is an arithmetic number, because the mean of its divisors is an integer number (164994901344).

Almost surely, 2^{14318136231168} 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 14318136231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759265793536).

14318136231168 is an abundant number, since it is smaller than the sum of its proper divisors (33200395355904).

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

14318136231168 is a wasteful number, since it uses less digits than its factorization.

14318136231168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42601 (or 42587 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 14318136231168 in words is "fourteen trillion, three hundred eighteen billion, one hundred thirty-six million, two hundred thirty-one thousand, one hundred sixty-eight".