1742166131011 has 16 divisors (see below), whose sum is σ = 1773689702400. Its totient is φ = 1710848563200.

The previous prime is 1742166130993. The next prime is 1742166131039. The reversal of 1742166131011 is 1101316612471.

It is a cyclic number.

It is not a de Polignac number, because 1742166131011 - 2³³ = 1733576196419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1742166131051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20650926 + ... + 20735116.

It is an arithmetic number, because the mean of its divisors is an integer number (110855606400).

Almost surely, 2^{1742166131011} is an apocalyptic number.

1742166131011 is a deficient number, since it is larger than the sum of its proper divisors (31523571389).

1742166131011 is an equidigital number, since it uses as much as digits as its factorization.

1742166131011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85410.

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 1742166131011 in words is "one trillion, seven hundred forty-two billion, one hundred sixty-six million, one hundred thirty-one thousand, eleven".