14088658911072 has 96 divisors (see below), whose sum is σ = 37356605395200. Its totient is φ = 4648779548160.

The previous prime is 14088658911071. The next prime is 14088658911083. The reversal of 14088658911072 is 27011985688041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14088658910997 and 14088658911015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14088658911071) 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 15 ways as a sum of consecutive naturals, for example, 24745054 + ... + 25308002.

It is an arithmetic number, because the mean of its divisors is an integer number (389131306200).

Almost surely, 2^{14088658911072} is an apocalyptic number.

14088658911072 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 14088658911072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678302697600).

14088658911072 is an abundant number, since it is smaller than the sum of its proper divisors (23267946484128).

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

14088658911072 is a wasteful number, since it uses less digits than its factorization.

14088658911072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565596 (or 565588 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 60.

The spelling of 14088658911072 in words is "fourteen trillion, eighty-eight billion, six hundred fifty-eight million, nine hundred eleven thousand, seventy-two".