16984446045961 has 9 divisors (see below), whose sum is σ = 17590435915143. Its totient is φ = 16398660098520.

The previous prime is 16984446045943. The next prime is 16984446045977. The reversal of 16984446045961 is 16954064448961.

The square root of 16984446045961 is 4121219.

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

It can be written as a sum of positive squares in only one way, i.e., 8906231517561 + 8078214528400 = 2984331^2 + 2842220^2 .

It is not a de Polignac number, because 16984446045961 - 2²³ = 16984437657353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16984446045901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119444296 + ... + 119586406.

Almost surely, 2^{16984446045961} is an apocalyptic number.

16984446045961 is the 4121219-th square number.

16984446045961 is the 2060610-th centered octagonal number.

It is an amenable number.

16984446045961 is a deficient number, since it is larger than the sum of its proper divisors (605989869182).

16984446045961 is an frugal number, since it uses more digits than its factorization.

16984446045961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284280 (or 142140 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 16984446045961 in words is "sixteen trillion, nine hundred eighty-four billion, four hundred forty-six million, forty-five thousand, nine hundred sixty-one".