14545314851328 has 1600 divisors, whose sum is σ = 49510031155200. Its totient is φ = 4229228298240.

The previous prime is 14545314851317. The next prime is 14545314851381. The reversal of 14545314851328 is 82315841354541.

14545314851328 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 531 + 4 + 85 + 1 + 3 + 28 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 65225627025 + ... + 65225627247.

It is an arithmetic number, because the mean of its divisors is an integer number (30943769472).

Almost surely, 2^{14545314851328} is an apocalyptic number.

14545314851328 is a gapful number since it is divisible by the number (18) 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 14545314851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755015577600).

14545314851328 is an abundant number, since it is smaller than the sum of its proper divisors (34964716303872).

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

14545314851328 is a wasteful number, since it uses less digits than its factorization.

14545314851328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 14545314851328 in words is "fourteen trillion, five hundred forty-five billion, three hundred fourteen million, eight hundred fifty-one thousand, three hundred twenty-eight".