16804516014 has 384 divisors, whose sum is σ = 48002803200. Its totient is φ = 4302305280.

The previous prime is 16804516007. The next prime is 16804516019. The reversal of 16804516014 is 41061540861.

16804516014 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 45 + 1 + 601 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16804516014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16804516019) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73382052 + ... + 73382280.

It is an arithmetic number, because the mean of its divisors is an integer number (125007300).

Almost surely, 2^16804516014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16804516014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24001401600).

16804516014 is an abundant number, since it is smaller than the sum of its proper divisors (31198287186).

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

16804516014 is a wasteful number, since it uses less digits than its factorization.

16804516014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16804516014 in words is "sixteen billion, eight hundred four million, five hundred sixteen thousand, fourteen".