1161085685761 has 8 divisors (see below), whose sum is σ = 1162442336264. Its totient is φ = 1159729643520.

The previous prime is 1161085685741. The next prime is 1161085685827. The reversal of 1161085685761 is 1675865801611.

It can be written as a sum of positive squares in 4 ways, for example, as 674919756225 + 486165929536 = 821535^2 + 697256^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1161085685761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1161085685741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3725425 + ... + 4025041.

It is an arithmetic number, because the mean of its divisors is an integer number (145305292033).

Almost surely, 2^{1161085685761} is an apocalyptic number.

It is an amenable number.

1161085685761 is a deficient number, since it is larger than the sum of its proper divisors (1356650503).

1161085685761 is a wasteful number, since it uses less digits than its factorization.

1161085685761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304131.

The product of its (nonzero) digits is 2419200, while the sum is 55.

The spelling of 1161085685761 in words is "one trillion, one hundred sixty-one billion, eighty-five million, six hundred eighty-five thousand, seven hundred sixty-one".