14347827120 has 160 divisors (see below), whose sum is σ = 48578390784. Its totient is φ = 3474201600.

The previous prime is 14347827119. The next prime is 14347827163. The reversal of 14347827120 is 2172874341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692779 + ... + 2698101.

Almost surely, 2^14347827120 is an apocalyptic number.

14347827120 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 14347827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289195392).

14347827120 is an abundant number, since it is smaller than the sum of its proper divisors (34230563664).

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

14347827120 is a wasteful number, since it uses less digits than its factorization.

14347827120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 14347827120 in words is "fourteen billion, three hundred forty-seven million, eight hundred twenty-seven thousand, one hundred twenty".