14857945344 has 216 divisors, whose sum is σ = 48466690272. Its totient is φ = 4502200320.

The previous prime is 14857945343. The next prime is 14857945469. The reversal of 14857945344 is 44354975841.

14857945344 is a `hidden beast` number, since 1 + 4 + 85 + 79 + 453 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (14857945343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673432 + ... + 695144.

Almost surely, 2^14857945344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14857945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233345136).

14857945344 is an abundant number, since it is smaller than the sum of its proper divisors (33608744928).

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

14857945344 is an equidigital number, since it uses as much as digits as its factorization.

14857945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21755 (or 21729 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 14857945344 in words is "fourteen billion, eight hundred fifty-seven million, nine hundred forty-five thousand, three hundred forty-four".