14308469952 has 224 divisors, whose sum is σ = 44769414144. Its totient is φ = 3948134400.

The previous prime is 14308469939. The next prime is 14308469963. The reversal of 14308469952 is 25996480341.

14308469952 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 (224).

It is a junction number, because it is equal to n+sod(n) for n = 14308469895 and 14308469904.

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, 5674452 + ... + 5676972.

It is an arithmetic number, because the mean of its divisors is an integer number (199863456).

Almost surely, 2^14308469952 is an apocalyptic number.

14308469952 is a gapful number since it is divisible by the number (12) 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 14308469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384707072).

14308469952 is an abundant number, since it is smaller than the sum of its proper divisors (30460944192).

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

14308469952 is a wasteful number, since it uses less digits than its factorization.

14308469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 14308469952 in words is "fourteen billion, three hundred eight million, four hundred sixty-nine thousand, nine hundred fifty-two".