16738710912 has 768 divisors, whose sum is σ = 64691827200. Its totient is φ = 4180377600.

The previous prime is 16738710899. The next prime is 16738710973. The reversal of 16738710912 is 21901783761.

16738710912 is a `hidden beast` number, since 167 + 387 + 109 + 1 + 2 = 666.

16738710912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69455112 + ... + 69455352.

It is an arithmetic number, because the mean of its divisors is an integer number (84234150).

Almost surely, 2^16738710912 is an apocalyptic number.

16738710912 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 16738710912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32345913600).

16738710912 is an abundant number, since it is smaller than the sum of its proper divisors (47953116288).

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

16738710912 is a wasteful number, since it uses less digits than its factorization.

16738710912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 16738710912 in words is "sixteen billion, seven hundred thirty-eight million, seven hundred ten thousand, nine hundred twelve".