1968771658266 has 120 divisors (see below), whose sum is σ = 5110820460564. Its totient is φ = 547302873600.

The previous prime is 1968771658261. The next prime is 1968771658267. The reversal of 1968771658266 is 6628561778691.

It can be written as a sum of positive squares in 2 ways, for example, as 1968731703225 + 39955041 = 1403115^2 + 6321^2 .

It is a super-2 number, since 2×1968771658266² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1968771658194 and 1968771658203.

It is not an unprimeable number, because it can be changed into a prime (1968771658261) 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 59 ways as a sum of consecutive naturals, for example, 983466 + ... + 2214666.

Almost surely, 2^{1968771658266} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968771658266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555410230282).

1968771658266 is an abundant number, since it is smaller than the sum of its proper divisors (3142048802298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1968771658266 is a wasteful number, since it uses less digits than its factorization.

1968771658266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231274 (or 1231250 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 1968771658266 in words is "one trillion, nine hundred sixty-eight billion, seven hundred seventy-one million, six hundred fifty-eight thousand, two hundred sixty-six".