14331820992000 has 1280 divisors, whose sum is σ = 51339434065920. Its totient is φ = 3536400384000.

The previous prime is 14331820991993. The next prime is 14331820992017. The reversal of 14331820992000 is 29902813341.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

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, 46683455847 + ... + 46683456153.

It is an arithmetic number, because the mean of its divisors is an integer number (40108932864).

Almost surely, 2^{14331820992000} is an apocalyptic number.

14331820992000 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 14331820992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669717032960).

14331820992000 is an abundant number, since it is smaller than the sum of its proper divisors (37007613073920).

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

14331820992000 is a wasteful number, since it uses less digits than its factorization.

14331820992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 14331820992000 in words is "fourteen trillion, three hundred thirty-one billion, eight hundred twenty million, nine hundred ninety-two thousand".