3461116011041 has 24 divisors (see below), whose sum is σ = 3960546260664. Its totient is φ = 3006154967040.

The previous prime is 3461116011037. The next prime is 3461116011061. The reversal of 3461116011041 is 1401106111643.

It can be written as a sum of positive squares in 12 ways, for example, as 1142793070225 + 2318322940816 = 1069015^2 + 1522604^2 .

It is not a de Polignac number, because 3461116011041 - 2² = 3461116011037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3461116010995 and 3461116011013.

It is not an unprimeable number, because it can be changed into a prime (3461116011061) 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, 14462231 + ... + 14699603.

It is an arithmetic number, because the mean of its divisors is an integer number (165022760861).

Almost surely, 2^{3461116011041} is an apocalyptic number.

It is an amenable number.

3461116011041 is a deficient number, since it is larger than the sum of its proper divisors (499430249623).

3461116011041 is a wasteful number, since it uses less digits than its factorization.

3461116011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241301 (or 241284 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 3461116011041 in words is "three trillion, four hundred sixty-one billion, one hundred sixteen million, eleven thousand, forty-one".