14323289952 has 144 divisors (see below), whose sum is σ = 38700816336. Its totient is φ = 4637952000.

The previous prime is 14323289933. The next prime is 14323289963. The reversal of 14323289952 is 25998232341.

14323289952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 36078618 + ... + 36079014.

It is an arithmetic number, because the mean of its divisors is an integer number (268755669).

Almost surely, 2^14323289952 is an apocalyptic number.

14323289952 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 14323289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350408168).

14323289952 is an abundant number, since it is smaller than the sum of its proper divisors (24377526384).

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

14323289952 is a wasteful number, since it uses less digits than its factorization.

14323289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 564 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 14323289952 in words is "fourteen billion, three hundred twenty-three million, two hundred eighty-nine thousand, nine hundred fifty-two".