1966963802193 has 24 divisors (see below), whose sum is σ = 3064267984232. Its totient is φ = 1208640642048.

The previous prime is 1966963802171. The next prime is 1966963802269. The reversal of 1966963802193 is 3912083696691.

1966963802193 is a `hidden beast` number, since 1 + 9 + 6 + 69 + 6 + 380 + 2 + 193 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 450955227024 + 1516008575169 = 671532^2 + 1231263^2 .

It is not a de Polignac number, because 1966963802193 - 2²¹ = 1966961705041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1966963802193.

It is not an unprimeable number, because it can be changed into a prime (1966963802593) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12411346 + ... + 12568827.

Almost surely, 2^{1966963802193} is an apocalyptic number.

1966963802193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1966963802193 is a deficient number, since it is larger than the sum of its proper divisors (1097304182039).

1966963802193 is a wasteful number, since it uses less digits than its factorization.

1966963802193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24980865 (or 24980862 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 1966963802193 in words is "one trillion, nine hundred sixty-six billion, nine hundred sixty-three million, eight hundred two thousand, one hundred ninety-three".