14082336768 has 192 divisors, whose sum is σ = 39173621760. Its totient is φ = 4493721600.

The previous prime is 14082336743. The next prime is 14082336773. The reversal of 14082336768 is 86763328041.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20379303 + ... + 20379993.

It is an arithmetic number, because the mean of its divisors is an integer number (204029280).

Almost surely, 2^14082336768 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 14082336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586810880).

14082336768 is an abundant number, since it is smaller than the sum of its proper divisors (25091284992).

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

14082336768 is a wasteful number, since it uses less digits than its factorization.

14082336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 14082336768 in words is "fourteen billion, eighty-two million, three hundred thirty-six thousand, seven hundred sixty-eight".