14055085824 has 288 divisors, whose sum is σ = 42536653824. Its totient is φ = 4087480320.

The previous prime is 14055085777. The next prime is 14055085831. The reversal of 14055085824 is 42858055041.

14055085824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22273989 + ... + 22274619.

Almost surely, 2^14055085824 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 14055085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268326912).

14055085824 is an abundant number, since it is smaller than the sum of its proper divisors (28481568000).

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

14055085824 is a wasteful number, since it uses less digits than its factorization.

14055085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The spelling of 14055085824 in words is "fourteen billion, fifty-five million, eighty-five thousand, eight hundred twenty-four".