14007627312 has 160 divisors (see below), whose sum is σ = 41768374272. Its totient is φ = 3962483712.

The previous prime is 14007627307. The next prime is 14007627329. The reversal of 14007627312 is 21372670041.

14007627312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23076513 + ... + 23077119.

Almost surely, 2^14007627312 is an apocalyptic number.

14007627312 is a gapful number since it is divisible by the number (12) 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 14007627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884187136).

14007627312 is an abundant number, since it is smaller than the sum of its proper divisors (27760746960).

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

14007627312 is a wasteful number, since it uses less digits than its factorization.

14007627312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 14007627312 in words is "fourteen billion, seven million, six hundred twenty-seven thousand, three hundred twelve".