1642803594961 has 9 divisors (see below), whose sum is σ = 1654886822043. Its totient is φ = 1630807986840.

The previous prime is 1642803594917. The next prime is 1642803594977. The reversal of 1642803594961 is 1694953082461.

The square root of 1642803594961 is 1281719.

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., 1506095927361 + 136707667600 = 1227231^2 + 369740^2 .

It is not a de Polignac number, because 1642803594961 - 2²¹ = 1642801497809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1642803594896 and 1642803594905.

It is not an unprimeable number, because it can be changed into a prime (1642803594361) 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, 178154331 + ... + 178163551.

Almost surely, 2^{1642803594961} is an apocalyptic number.

1642803594961 is the 1281719-th square number.

1642803594961 is the 640860-th centered octagonal number.

It is an amenable number.

1642803594961 is a deficient number, since it is larger than the sum of its proper divisors (12083227082).

1642803594961 is an frugal number, since it uses more digits than its factorization.

1642803594961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 1642803594961 in words is "one trillion, six hundred forty-two billion, eight hundred three million, five hundred ninety-four thousand, nine hundred sixty-one".