168144930319041 has 27 divisors (see below), whose sum is σ = 262996707646569. Its totient is φ = 103473492063552.

The previous prime is 168144930318991. The next prime is 168144930319057. The reversal of 168144930319041 is 140913039441861.

The square root of 168144930319041 is 12967071.

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

168144930319041 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 449 + 3 + 0 + 3 + 190 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24082427538225 + 144062502780816 = 4907385^2 + 12002604^2 .

It is not a de Polignac number, because 168144930319041 - 2⁷ = 168144930318913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (168144930312041) 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, 505549525 + ... + 505882013.

Almost surely, 2^{168144930319041} is an apocalyptic number.

168144930319041 is the 12967071-st square number.

168144930319041 is the 6483536-th centered octagonal number.

It is an amenable number.

168144930319041 is a deficient number, since it is larger than the sum of its proper divisors (94851777327528).

168144930319041 is an frugal number, since it uses more digits than its factorization.

168144930319041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665010 (or 332505 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 168144930319041 in words is "one hundred sixty-eight trillion, one hundred forty-four billion, nine hundred thirty million, three hundred nineteen thousand, forty-one".