46173844161 has 27 divisors (see below), whose sum is σ = 68401103043. Its totient is φ = 30014578080.

The previous prime is 46173844153. The next prime is 46173844163. The reversal of 46173844161 is 16144837164.

The square root of 46173844161 is 214881.

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

46173844161 is a `hidden beast` number, since 461 + 73 + 84 + 41 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2224914561 + 43948929600 = 47169^2 + 209640^2 .

It is not a de Polignac number, because 46173844161 - 2³ = 46173844153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46173844163) 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, 26429490 + ... + 26431236.

Almost surely, 2^46173844161 is an apocalyptic number.

46173844161 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

46173844161 is the 214881-st square number.

46173844161 is the 107441-st centered octagonal number.

It is an amenable number.

46173844161 is a deficient number, since it is larger than the sum of its proper divisors (22227258882).

46173844161 is an frugal number, since it uses more digits than its factorization.

46173844161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1791 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 46173844161 in words is "forty-six billion, one hundred seventy-three million, eight hundred forty-four thousand, one hundred sixty-one".