14868391143312 has 640 divisors, whose sum is σ = 50780577136640. Its totient is φ = 4080113856000.

The previous prime is 14868391143293. The next prime is 14868391143329. The reversal of 14868391143312 is 21334119386841.

14868391143312 is a `hidden beast` number, since 1 + 4 + 86 + 8 + 391 + 143 + 31 + 2 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13603285038 + ... + 13603286130.

It is an arithmetic number, because the mean of its divisors is an integer number (79344651776).

Almost surely, 2^{14868391143312} is an apocalyptic number.

14868391143312 is a gapful number since it is divisible by the number (12) 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 14868391143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25390288568320).

14868391143312 is an abundant number, since it is smaller than the sum of its proper divisors (35912185993328).

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

14868391143312 is a wasteful number, since it uses less digits than its factorization.

14868391143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1287 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 14868391143312 in words is "fourteen trillion, eight hundred sixty-eight billion, three hundred ninety-one million, one hundred forty-three thousand, three hundred twelve".