169841338517761 has 27 divisors (see below), whose sum is σ = 180969011917257. Its totient is φ = 159365452245120.

The previous prime is 169841338517743. The next prime is 169841338517777. The reversal of 169841338517761 is 167715833148961.

The square root of 169841338517761 is 13032319.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34709548373361 + 135131790144400 = 5891481^2 + 11624620^2 .

It is not a de Polignac number, because 169841338517761 - 2¹⁷ = 169841338386689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (169841338517701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87955119966 + ... + 87955121896.

Almost surely, 2^{169841338517761} is an apocalyptic number.

169841338517761 is the 13032319-th square number.

169841338517761 is the 6516160-th centered octagonal number.

It is an amenable number.

169841338517761 is a deficient number, since it is larger than the sum of its proper divisors (11127673399496).

169841338517761 is an frugal number, since it uses more digits than its factorization.

169841338517761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 2345 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 70.

The spelling of 169841338517761 in words is "one hundred sixty-nine trillion, eight hundred forty-one billion, three hundred thirty-eight million, five hundred seventeen thousand, seven hundred sixty-one".