14016188804352 has 144 divisors (see below), whose sum is σ = 42639700465152. Its totient is φ = 4003955988480.

The previous prime is 14016188804327. The next prime is 14016188804369. The reversal of 14016188804352 is 25340888161041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14016188804295 and 14016188804304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32401327 + ... + 32831057.

It is an arithmetic number, because the mean of its divisors is an integer number (296109031008).

Almost surely, 2^{14016188804352} is an apocalyptic number.

14016188804352 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 14016188804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319850232576).

14016188804352 is an abundant number, since it is smaller than the sum of its proper divisors (28623511660800).

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

14016188804352 is an equidigital number, since it uses as much as digits as its factorization.

14016188804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435824 (or 435810 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 14016188804352 in words is "fourteen trillion, sixteen billion, one hundred eighty-eight million, eight hundred four thousand, three hundred fifty-two".