2179665424161 has 45 divisors (see below), whose sum is σ = 3338230421449. Its totient is φ = 1417314240000.

The previous prime is 2179665424073. The next prime is 2179665424171. The reversal of 2179665424161 is 1614245669712.

The square root of 2179665424161 is 1476369.

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

2179665424161 is a `hidden beast` number, since 2 + 1 + 7 + 96 + 6 + 542 + 4 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1812574849761 + 367090574400 = 1346319^2 + 605880^2 .

It is not a de Polignac number, because 2179665424161 - 2¹⁹ = 2179664899873 is a prime.

It is a super-2 number, since 2×2179665424161² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2179665424098 and 2179665424107.

It is not an unprimeable number, because it can be changed into a prime (2179665424171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 544778161 + ... + 544782161.

Almost surely, 2^{2179665424161} is an apocalyptic number.

2179665424161 is the 1476369-th square number.

2179665424161 is the 738185-th centered octagonal number.

It is an amenable number.

2179665424161 is a deficient number, since it is larger than the sum of its proper divisors (1158564997288).

2179665424161 is an frugal number, since it uses more digits than its factorization.

2179665424161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 4045 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 2179665424161 in words is "two trillion, one hundred seventy-nine billion, six hundred sixty-five million, four hundred twenty-four thousand, one hundred sixty-one".