14490952320 has 768 divisors, whose sum is σ = 55155790080. Its totient is φ = 3220439040.

The previous prime is 14490952297. The next prime is 14490952351. The reversal of 14490952320 is 2325909441.

14490952320 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 95 ways as a sum of consecutive naturals, for example, 204097885 + ... + 204097955.

It is an arithmetic number, because the mean of its divisors is an integer number (71817435).

Almost surely, 2^14490952320 is an apocalyptic number.

14490952320 is a gapful number since it is divisible by the number (10) 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 14490952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27577895040).

14490952320 is an abundant number, since it is smaller than the sum of its proper divisors (40664837760).

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

14490952320 is a wasteful number, since it uses less digits than its factorization.

14490952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 14490952320 in words is "fourteen billion, four hundred ninety million, nine hundred fifty-two thousand, three hundred twenty".