14078968680 has 256 divisors, whose sum is σ = 51047055360. Its totient is φ = 3038054400.

The previous prime is 14078968627. The next prime is 14078968723. The reversal of 14078968680 is 8686987041.

It is a self number, because there is not a number n which added to its sum of digits gives 14078968680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061047 + ... + 1074233.

It is an arithmetic number, because the mean of its divisors is an integer number (199402560).

Almost surely, 2^14078968680 is an apocalyptic number.

14078968680 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 14078968680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523527680).

14078968680 is an abundant number, since it is smaller than the sum of its proper divisors (36968086680).

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

14078968680 is a wasteful number, since it uses less digits than its factorization.

14078968680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 14078968680 in words is "fourteen billion, seventy-eight million, nine hundred sixty-eight thousand, six hundred eighty".