14076816768 has 256 divisors, whose sum is σ = 48264768000. Its totient is φ = 3955599360.

The previous prime is 14076816763. The next prime is 14076816769. The reversal of 14076816768 is 86761867041.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076816763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470943 + ... + 1480481.

It is an arithmetic number, because the mean of its divisors is an integer number (188534250).

Almost surely, 2^14076816768 is an apocalyptic number.

14076816768 is a gapful number since it is divisible by the number (18) 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 14076816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24132384000).

14076816768 is an abundant number, since it is smaller than the sum of its proper divisors (34187951232).

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

14076816768 is an equidigital number, since it uses as much as digits as its factorization.

14076816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 14076816768 in words is "fourteen billion, seventy-six million, eight hundred sixteen thousand, seven hundred sixty-eight".