3691166980081 has 15 divisors (see below), whose sum is σ = 4306215079691. Its totient is φ = 3163776719376.

The previous prime is 3691166980051. The next prime is 3691166980097. The reversal of 3691166980081 is 1800896611963.

The square root of 3691166980081 is 1921241.

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., 3542078325681 + 149088654400 = 1882041^2 + 386120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3691166980081 is a prime.

It is a super-2 number, since 2×3691166980081² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3691166979998 and 3691166980025.

It is not an unprimeable number, because it can be changed into a prime (3691166980031) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 94121205 + ... + 94160413.

Almost surely, 2^{3691166980081} is an apocalyptic number.

3691166980081 is the 1921241-st square number.

3691166980081 is the 960621-st centered octagonal number.

It is an amenable number.

3691166980081 is a deficient number, since it is larger than the sum of its proper divisors (615048099610).

3691166980081 is an frugal number, since it uses more digits than its factorization.

3691166980081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78446 (or 39216 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 3691166980081 in words is "three trillion, six hundred ninety-one billion, one hundred sixty-six million, nine hundred eighty thousand, eighty-one".