1171847385361 has 27 divisors (see below), whose sum is σ = 1208825460297. Its totient is φ = 1135995438600.

The previous prime is 1171847385349. The next prime is 1171847385389. The reversal of 1171847385361 is 1635837481711.

The square root of 1171847385361 is 1082519.

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

It is not a de Polignac number, because 1171847385361 - 2⁹ = 1171847384849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1171847385301) 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, 7760578636 + ... + 7760578786.

Almost surely, 2^{1171847385361} is an apocalyptic number.

1171847385361 is the 1082519-th square number.

1171847385361 is the 541260-th centered octagonal number.

It is an amenable number.

1171847385361 is a deficient number, since it is larger than the sum of its proper divisors (36978074936).

1171847385361 is an frugal number, since it uses more digits than its factorization.

1171847385361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 1171847385361 in words is "one trillion, one hundred seventy-one billion, eight hundred forty-seven million, three hundred eighty-five thousand, three hundred sixty-one".