3909046991161 has 15 divisors (see below), whose sum is σ = 4235151511241. Its totient is φ = 3608042636328.

The previous prime is 3909046991117. The next prime is 3909046991167. The reversal of 3909046991161 is 1611996409093.

The square root of 3909046991161 is 1977131.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1938167936761 + 1970879054400 = 1392181^2 + 1403880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3909046991161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3909046991096 and 3909046991105.

It is not an unprimeable number, because it can be changed into a prime (3909046991167) 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 14 ways as a sum of consecutive naturals, for example, 334129290 + ... + 334140988.

Almost surely, 2^{3909046991161} is an apocalyptic number.

3909046991161 is the 1977131-st square number.

3909046991161 is the 988566-th centered octagonal number.

It is an amenable number.

3909046991161 is a deficient number, since it is larger than the sum of its proper divisors (326104520080).

3909046991161 is an frugal number, since it uses more digits than its factorization.

3909046991161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23450 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 58.

The spelling of 3909046991161 in words is "three trillion, nine hundred nine billion, forty-six million, nine hundred ninety-one thousand, one hundred sixty-one".