10851865643089 has 9 divisors (see below), whose sum is σ = 10965216772881. Its totient is φ = 10739674494720.

The previous prime is 10851865643057. The next prime is 10851865643111. The reversal of 10851865643089 is 98034656815801.

The square root of 10851865643089 is 3294217.

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 3596427780625 + 7255437862464 = 1896425^2 + 2693592^2 .

It is not a de Polignac number, because 10851865643089 - 2⁵ = 10851865643057 is a prime.

It is a super-3 number, since 3×10851865643089³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10851865643089.

It is not an unprimeable number, because it can be changed into a prime (10851865643029) 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, 319522069 + ... + 319556029.

It is an arithmetic number, because the mean of its divisors is an integer number (1218357419209).

Almost surely, 2^{10851865643089} is an apocalyptic number.

10851865643089 is the 3294217-th square number.

10851865643089 is the 1647109-th centered octagonal number.

It is an amenable number.

10851865643089 is a deficient number, since it is larger than the sum of its proper divisors (113351129792).

10851865643089 is an frugal number, since it uses more digits than its factorization.

10851865643089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68116 (or 34058 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 64.

Multiplying 10851865643089 by its sum of digits (64), we get a square (694519401157696 = 26353736²).

The spelling of 10851865643089 in words is "ten trillion, eight hundred fifty-one billion, eight hundred sixty-five million, six hundred forty-three thousand, eighty-nine".