1731648078241 has 9 divisors (see below), whose sum is σ = 1827610647921. Its totient is φ = 1640485019124.

The previous prime is 1731648078179. The next prime is 1731648078283. The reversal of 1731648078241 is 1428708461371.

It is a happy number.

The square root of 1731648078241 is 1315921.

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

It is a de Polignac number, because none of the positive numbers 2^k-1731648078241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1731648079241) 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, 24967870 + ... + 25037128.

It is an arithmetic number, because the mean of its divisors is an integer number (203067849769).

Almost surely, 2^{1731648078241} is an apocalyptic number.

1731648078241 is the 1315921-st square number.

1731648078241 is the 657961-st centered octagonal number.

It is an amenable number.

1731648078241 is a deficient number, since it is larger than the sum of its proper divisors (95962569680).

1731648078241 is an frugal number, since it uses more digits than its factorization.

1731648078241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138556 (or 69278 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 1731648078241 in words is "one trillion, seven hundred thirty-one billion, six hundred forty-eight million, seventy-eight thousand, two hundred forty-one".