738161027236161 has 135 divisors (see below), whose sum is σ = 1129296301302169. Its totient is φ = 480509995692672.

The previous prime is 738161027236123. The next prime is 738161027236219. The reversal of 738161027236161 is 161632720161837.

The square root of 738161027236161 is 27169119.

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

738161027236161 is a `hidden beast` number, since 7 + 3 + 8 + 1 + 6 + 1 + 0 + 272 + 361 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437292714287025 + 300868312949136 = 20911545^2 + 17345556^2 .

It is not a de Polignac number, because 738161027236161 - 2³¹ = 738158879752513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 738161027236098 and 738161027236107.

It is not an unprimeable number, because it can be changed into a prime (738161027236111) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2328583681975 + ... + 2328583682291.

Almost surely, 2^{738161027236161} is an apocalyptic number.

738161027236161 is the 27169119-th square number.

738161027236161 is the 13584560-th centered octagonal number.

It is an amenable number.

738161027236161 is a deficient number, since it is larger than the sum of its proper divisors (391135274066008).

738161027236161 is an frugal number, since it uses more digits than its factorization.

738161027236161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

Adding to 738161027236161 its reverse (161632720161837), we get a palindrome (899793747397998).

The spelling of 738161027236161 in words is "seven hundred thirty-eight trillion, one hundred sixty-one billion, twenty-seven million, two hundred thirty-six thousand, one hundred sixty-one".