14545263436416 has 640 divisors, whose sum is σ = 47101416384000. Its totient is φ = 4438754795520.

The previous prime is 14545263436411. The next prime is 14545263436493. The reversal of 14545263436416 is 61463436254541.

14545263436416 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 263 + 4 + 364 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14545263436411) 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 79 ways as a sum of consecutive naturals, for example, 6088430550 + ... + 6088432938.

It is an arithmetic number, because the mean of its divisors is an integer number (73595963100).

Almost surely, 2^{14545263436416} is an apocalyptic number.

14545263436416 is a gapful number since it is divisible by the number (16) 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 14545263436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550708192000).

14545263436416 is an abundant number, since it is smaller than the sum of its proper divisors (32556152947584).

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

14545263436416 is a wasteful number, since it uses less digits than its factorization.

14545263436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3441 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 14545263436416 in words is "fourteen trillion, five hundred forty-five billion, two hundred sixty-three million, four hundred thirty-six thousand, four hundred sixteen".