14385231204960 has 2304 divisors, whose sum is σ = 64931715072000. Its totient is φ = 2630293585920.

The previous prime is 14385231204907. The next prime is 14385231204961. The reversal of 14385231204960 is 6940213258341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14385231204961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 6601757151 + ... + 6601759329.

It is an arithmetic number, because the mean of its divisors is an integer number (28182168000).

Almost surely, 2^{14385231204960} is an apocalyptic number.

14385231204960 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 14385231204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465857536000).

14385231204960 is an abundant number, since it is smaller than the sum of its proper divisors (50546483867040).

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

14385231204960 is a wasteful number, since it uses less digits than its factorization.

14385231204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 14385231204960 in words is "fourteen trillion, three hundred eighty-five billion, two hundred thirty-one million, two hundred four thousand, nine hundred sixty".