11671081167761 has 8 divisors (see below), whose sum is σ = 11891466161064. Its totient is φ = 11450702689920.

The previous prime is 11671081167751. The next prime is 11671081167821. The reversal of 11671081167761 is 16776118017611.

11671081167761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1202847401536 + 10468233766225 = 1096744^2 + 3235465^2 .

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-11671081167761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11671081167751) 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, 2065925 + ... + 5254541.

It is an arithmetic number, because the mean of its divisors is an integer number (1486433270133).

Almost surely, 2^{11671081167761} is an apocalyptic number.

It is an amenable number.

11671081167761 is a deficient number, since it is larger than the sum of its proper divisors (220384993303).

11671081167761 is an equidigital number, since it uses as much as digits as its factorization.

11671081167761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257731.

The product of its (nonzero) digits is 592704, while the sum is 53.

The spelling of 11671081167761 in words is "eleven trillion, six hundred seventy-one billion, eighty-one million, one hundred sixty-seven thousand, seven hundred sixty-one".