14678693280 has 432 divisors, whose sum is σ = 53022551400. Its totient is φ = 3694989312.

The previous prime is 14678693251. The next prime is 14678693287. The reversal of 14678693280 is 8239687641.

14678693280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11853983376 + 2824709904 = 108876^2 + 53148^2 .

It is not an unprimeable number, because it can be changed into a prime (14678693287) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 98514646 + ... + 98514794.

Almost surely, 2^14678693280 is an apocalyptic number.

14678693280 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 14678693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26511275700).

14678693280 is an abundant number, since it is smaller than the sum of its proper divisors (38343858120).

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

14678693280 is a wasteful number, since it uses less digits than its factorization.

14678693280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14678693280 in words is "fourteen billion, six hundred seventy-eight million, six hundred ninety-three thousand, two hundred eighty".