14089827312 has 160 divisors (see below), whose sum is σ = 44742136320. Its totient is φ = 4209408000.

The previous prime is 14089827299. The next prime is 14089827313. The reversal of 14089827312 is 21372898041.

It is a happy number.

It is a super-2 number, since 2×14089827312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14089827313) by changing a digit.

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, 316512 + ... + 358272.

It is an arithmetic number, because the mean of its divisors is an integer number (279638352).

Almost surely, 2^14089827312 is an apocalyptic number.

14089827312 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 14089827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22371068160).

14089827312 is an abundant number, since it is smaller than the sum of its proper divisors (30652309008).

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

14089827312 is a wasteful number, since it uses less digits than its factorization.

14089827312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41860 (or 41848 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14089827312 in words is "fourteen billion, eighty-nine million, eight hundred twenty-seven thousand, three hundred twelve".