14068300320 has 336 divisors, whose sum is σ = 50358514752. Its totient is φ = 3711951360.

The previous prime is 14068300319. The next prime is 14068300349. The reversal of 14068300320 is 2300386041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12013335 + ... + 12014505.

It is an arithmetic number, because the mean of its divisors is an integer number (149876532).

Almost surely, 2^14068300320 is an apocalyptic number.

14068300320 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 14068300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179257376).

14068300320 is an abundant number, since it is smaller than the sum of its proper divisors (36290214432).

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

14068300320 is a wasteful number, since it uses less digits than its factorization.

14068300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14068300320 its reverse (2300386041), we get a palindrome (16368686361).

The spelling of 14068300320 in words is "fourteen billion, sixty-eight million, three hundred thousand, three hundred twenty".