14545440000000 has 3072 divisors, whose sum is σ = 68079200716800. Its totient is φ = 2985984000000.

The previous prime is 14545439999971. The next prime is 14545440000073. The reversal of 14545440000000 is 4454541.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 393119999982 + ... + 393120000018.

It is an arithmetic number, because the mean of its divisors is an integer number (22161198150).

Almost surely, 2^{14545440000000} is an apocalyptic number.

14545440000000 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 14545440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34039600358400).

14545440000000 is an abundant number, since it is smaller than the sum of its proper divisors (53533760716800).

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

14545440000000 is an frugal number, since it uses more digits than its factorization.

14545440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 14545440000000 its reverse (4454541), we get a palindrome (14545444454541).

The spelling of 14545440000000 in words is "fourteen trillion, five hundred forty-five billion, four hundred forty million", and thus it is an aban number.