10845844649809 has 21 divisors (see below), whose sum is σ = 11757508414543. Its totient is φ = 10004870089032.

The previous prime is 10845844649807. The next prime is 10845844649831. The reversal of 10845844649809 is 90894644854801.

The square root of 10845844649809 is 3293303.

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

It can be written as a sum of positive squares in 3 ways, for example, as 9305336716225 + 1540507933584 = 3050465^2 + 1241172^2 .

It is not a de Polignac number, because 10845844649809 - 2¹ = 10845844649807 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10845844649807) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7235385942 + ... + 7235387440.

Almost surely, 2^{10845844649809} is an apocalyptic number.

10845844649809 is the 3293303-rd square number.

10845844649809 is the 1646652-nd centered octagonal number.

It is an amenable number.

10845844649809 is a deficient number, since it is larger than the sum of its proper divisors (911663764734).

10845844649809 is an frugal number, since it uses more digits than its factorization.

10845844649809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 70.

The spelling of 10845844649809 in words is "ten trillion, eight hundred forty-five billion, eight hundred forty-four million, six hundred forty-nine thousand, eight hundred nine".