8461765111041 has 48 divisors (see below), whose sum is σ = 13820574456000. Its totient is φ = 4941774337920.

The previous prime is 8461765110901. The next prime is 8461765111049. The reversal of 8461765111041 is 1401115671648.

8461765111041 is a `hidden beast` number, since 8 + 4 + 61 + 76 + 511 + 1 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 8461765111041 - 2¹⁰ = 8461765110017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8461765111049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433871 + ... + 4356548.

It is an arithmetic number, because the mean of its divisors is an integer number (287928634500).

Almost surely, 2^{8461765111041} is an apocalyptic number.

It is an amenable number.

8461765111041 is a deficient number, since it is larger than the sum of its proper divisors (5358809344959).

8461765111041 is a wasteful number, since it uses less digits than its factorization.

8461765111041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790974 (or 5790971 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 8461765111041 in words is "eight trillion, four hundred sixty-one billion, seven hundred sixty-five million, one hundred eleven thousand, forty-one".