16798923625201 has 27 divisors (see below), whose sum is σ = 18192277749891. Its totient is φ = 15509025502464.

The previous prime is 16798923625181. The next prime is 16798923625243. The reversal of 16798923625201 is 10252632989761.

The square root of 16798923625201 is 4098649.

It is a perfect power (a square), and thus also a powerful number.

16798923625201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 4336090801 + 16794587534400 = 65849^2 + 4098120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16798923625201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16798923625201.

It is not an unprimeable number, because it can be changed into a prime (16798923625271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3692880475 + ... + 3692885023.

Almost surely, 2^{16798923625201} is an apocalyptic number.

16798923625201 is the 4098649-th square number.

16798923625201 is the 2049325-th centered octagonal number.

It is an amenable number.

16798923625201 is a deficient number, since it is larger than the sum of its proper divisors (1393354124690).

16798923625201 is an frugal number, since it uses more digits than its factorization.

16798923625201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 16798923625201 in words is "sixteen trillion, seven hundred ninety-eight billion, nine hundred twenty-three million, six hundred twenty-five thousand, two hundred one".