1664303826241 has 81 divisors (see below), whose sum is σ = 2120934814299. Its totient is φ = 1301885803008.

The previous prime is 1664303826233. The next prime is 1664303826253. The reversal of 1664303826241 is 1426283034661.

The square root of 1664303826241 is 1290079.

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

It can be written as a sum of positive squares in 13 ways, for example, as 405635241025 + 1258668585216 = 636895^2 + 1121904^2 .

It is not a de Polignac number, because 1664303826241 - 2³ = 1664303826233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1664303826191 and 1664303826200.

It is not an unprimeable number, because it can be changed into a prime (1664303826221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5680217691 + ... + 5680217983.

Almost surely, 2^{1664303826241} is an apocalyptic number.

1664303826241 is the 1290079-th square number.

1664303826241 is the 645040-th centered octagonal number.

It is an amenable number.

1664303826241 is a deficient number, since it is larger than the sum of its proper divisors (456630988058).

1664303826241 is an frugal number, since it uses more digits than its factorization.

1664303826241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 1664303826241 in words is "one trillion, six hundred sixty-four billion, three hundred three million, eight hundred twenty-six thousand, two hundred forty-one".