1701665461441 has 9 divisors (see below), whose sum is σ = 1870441444963. Its totient is φ = 1546955556520.

The previous prime is 1701665461439. The next prime is 1701665461451. The reversal of 1701665461441 is 1441645661071.

The square root of 1701665461441 is 1304479.

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

It can be written as a sum of positive squares in only one way, i.e., 258277041 + 1701407184400 = 16071^2 + 1304380^2 .

It is not a de Polignac number, because 1701665461441 - 2¹ = 1701665461439 is a prime.

It is a super-2 number, since 2×1701665461441² (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 = 1701665461391 and 1701665461400.

It is not an unprimeable number, because it can be changed into a prime (1701665461451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14289975 + ... + 14408563.

Almost surely, 2^{1701665461441} is an apocalyptic number.

1701665461441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1701665461441 is the 1304479-th square number.

1701665461441 is the 652240-th centered octagonal number.

It is an amenable number.

1701665461441 is a deficient number, since it is larger than the sum of its proper divisors (168775983522).

1701665461441 is an frugal number, since it uses more digits than its factorization.

1701665461441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237200 (or 118600 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1701665461441 in words is "one trillion, seven hundred one billion, six hundred sixty-five million, four hundred sixty-one thousand, four hundred forty-one".