16194146334912 has 336 divisors, whose sum is σ = 57167142439680. Its totient is φ = 4268158285824.

The previous prime is 16194146334911. The next prime is 16194146334929. The reversal of 16194146334912 is 21943364149161.

16194146334912 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 4 + 146 + 3 + 3 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16194146334911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79728139 + ... + 79930997.

It is an arithmetic number, because the mean of its divisors is an integer number (170140304880).

Almost surely, 2^{16194146334912} is an apocalyptic number.

16194146334912 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 16194146334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583571219840).

16194146334912 is an abundant number, since it is smaller than the sum of its proper divisors (40972996104768).

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

16194146334912 is a wasteful number, since it uses less digits than its factorization.

16194146334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204420 (or 204407 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 16194146334912 in words is "sixteen trillion, one hundred ninety-four billion, one hundred forty-six million, three hundred thirty-four thousand, nine hundred twelve".