1728491307841 has 9 divisors (see below), whose sum is σ = 1776519879561. Its totient is φ = 1681727996592.

The previous prime is 1728491307817. The next prime is 1728491307847. The reversal of 1728491307841 is 1487031948271.

The square root of 1728491307841 is 1314721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21705834241 + 1706785473600 = 147329^2 + 1306440^2 .

It is not a de Polignac number, because 1728491307841 - 2¹⁹ = 1728490783553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1728491307847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48626911 + ... + 48662443.

It is an arithmetic number, because the mean of its divisors is an integer number (197391097729).

Almost surely, 2^{1728491307841} is an apocalyptic number.

1728491307841 is the 1314721-st square number.

1728491307841 is the 657361-st centered octagonal number.

It is an amenable number.

1728491307841 is a deficient number, since it is larger than the sum of its proper divisors (48028571720).

1728491307841 is an frugal number, since it uses more digits than its factorization.

1728491307841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71140 (or 35570 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 1728491307841 in words is "one trillion, seven hundred twenty-eight billion, four hundred ninety-one million, three hundred seven thousand, eight hundred forty-one".