14488731368832 has 256 divisors, whose sum is σ = 44214783091200. Its totient is φ = 4117904179200.

The previous prime is 14488731368807. The next prime is 14488731368849. The reversal of 14488731368832 is 23886313788441.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350421644 + ... + 1350432372.

It is an arithmetic number, because the mean of its divisors is an integer number (172713996450).

Almost surely, 2^{14488731368832} is an apocalyptic number.

14488731368832 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 14488731368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107391545600).

14488731368832 is an abundant number, since it is smaller than the sum of its proper divisors (29726051722368).

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

14488731368832 is a wasteful number, since it uses less digits than its factorization.

14488731368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13333 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 66.

The spelling of 14488731368832 in words is "fourteen trillion, four hundred eighty-eight billion, seven hundred thirty-one million, three hundred sixty-eight thousand, eight hundred thirty-two".