16905735128008 has 16 divisors (see below), whose sum is σ = 31700445564060. Its totient is φ = 8452282977600.

The previous prime is 16905735127991. The next prime is 16905735128057. The reversal of 16905735128008 is 80082153750961.

It can be written as a sum of positive squares in 2 ways, for example, as 14037176410884 + 2868558717124 = 3746622^2 + 1693682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16905735128008.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 72950383 + ... + 73181758.

Almost surely, 2^{16905735128008} is an apocalyptic number.

It is an amenable number.

16905735128008 is a deficient number, since it is larger than the sum of its proper divisors (14794710436052).

16905735128008 is a wasteful number, since it uses less digits than its factorization.

16905735128008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146146608 (or 146146604 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

Adding to 16905735128008 its reverse (80082153750961), we get a palindrome (96987888878969).

The spelling of 16905735128008 in words is "sixteen trillion, nine hundred five billion, seven hundred thirty-five million, one hundred twenty-eight thousand, eight".