16985338999201 has 8 divisors (see below), whose sum is σ = 17176364641800. Its totient is φ = 16794317337600.

The previous prime is 16985338999199. The next prime is 16985338999261. The reversal of 16985338999201 is 10299983358961.

It can be written as a sum of positive squares in 4 ways, for example, as 29259813025 + 16956079186176 = 171055^2 + 4117776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16985338999201 - 2¹ = 16985338999199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16985338999261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8045101 + ... + 9934501.

It is an arithmetic number, because the mean of its divisors is an integer number (2147045580225).

Almost surely, 2^{16985338999201} is an apocalyptic number.

It is an amenable number.

16985338999201 is a deficient number, since it is larger than the sum of its proper divisors (191025642599).

16985338999201 is a wasteful number, since it uses less digits than its factorization.

16985338999201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990499.

The product of its (nonzero) digits is 226748160, while the sum is 73.

The spelling of 16985338999201 in words is "sixteen trillion, nine hundred eighty-five billion, three hundred thirty-eight million, nine hundred ninety-nine thousand, two hundred one".