14941329312 has 288 divisors, whose sum is σ = 49821936192. Its totient is φ = 3885428736.

The previous prime is 14941329301. The next prime is 14941329367. The reversal of 14941329312 is 21392314941.

14941329312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 4462423 + ... + 4465769.

It is an arithmetic number, because the mean of its divisors is an integer number (172992834).

Almost surely, 2^14941329312 is an apocalyptic number.

14941329312 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 14941329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24910968096).

14941329312 is an abundant number, since it is smaller than the sum of its proper divisors (34880606880).

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

14941329312 is a wasteful number, since it uses less digits than its factorization.

14941329312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3445 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The spelling of 14941329312 in words is "fourteen billion, nine hundred forty-one million, three hundred twenty-nine thousand, three hundred twelve".