14816050304 has 128 divisors (see below), whose sum is σ = 33265382400. Its totient is φ = 6513868800.

The previous prime is 14816050297. The next prime is 14816050313. The reversal of 14816050304 is 40305061841.

14816050304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14816050304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 9949592 + ... + 9951080.

It is an arithmetic number, because the mean of its divisors is an integer number (259885800).

Almost surely, 2^14816050304 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 14816050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632691200).

14816050304 is an abundant number, since it is smaller than the sum of its proper divisors (18449332096).

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

14816050304 is a wasteful number, since it uses less digits than its factorization.

14816050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 14816050304 in words is "fourteen billion, eight hundred sixteen million, fifty thousand, three hundred four".