14813392328 has 192 divisors, whose sum is σ = 35213270400. Its totient is φ = 5712537600.

The previous prime is 14813392327. The next prime is 14813392339. The reversal of 14813392328 is 82329331841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14813392327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36940928 + ... + 36941328.

It is an arithmetic number, because the mean of its divisors is an integer number (183402450).

Almost surely, 2^14813392328 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 14813392328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606635200).

14813392328 is an abundant number, since it is smaller than the sum of its proper divisors (20399878072).

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

14813392328 is a wasteful number, since it uses less digits than its factorization.

14813392328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The spelling of 14813392328 in words is "fourteen billion, eight hundred thirteen million, three hundred ninety-two thousand, three hundred twenty-eight".