194013823516416 has 216 divisors, whose sum is σ = 560169829215360. Its totient is φ = 64581129136128.

The previous prime is 194013823516411. The next prime is 194013823516483. The reversal of 194013823516416 is 614615328310491.

194013823516416 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 1 + 3 + 82 + 3 + 516 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194013823516411) 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 23 ways as a sum of consecutive naturals, for example, 7250400445 + ... + 7250427203.

It is an arithmetic number, because the mean of its divisors is an integer number (2593378838960).

Almost surely, 2^{194013823516416} is an apocalyptic number.

194013823516416 is a gapful number since it is divisible by the number (16) 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 194013823516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280084914607680).

194013823516416 is an abundant number, since it is smaller than the sum of its proper divisors (366156005698944).

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

194013823516416 is a wasteful number, since it uses less digits than its factorization.

194013823516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31051 (or 31034 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 194013823516416 in words is "one hundred ninety-four trillion, thirteen billion, eight hundred twenty-three million, five hundred sixteen thousand, four hundred sixteen".