10814686067761 has 9 divisors (see below), whose sum is σ = 11085030584193. Its totient is φ = 10550781694080.

The previous prime is 10814686067741. The next prime is 10814686067767. The reversal of 10814686067761 is 16776068641801.

The square root of 10814686067761 is 3288569.

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 8448503770161 + 2366182297600 = 2906631^2 + 1538240^2 .

It is not a de Polignac number, because 10814686067761 - 2¹¹ = 10814686065713 is a prime.

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 10814686067761.

It is not an unprimeable number, because it can be changed into a prime (10814686067767) 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, 134791225 + ... + 134871433.

Almost surely, 2^{10814686067761} is an apocalyptic number.

10814686067761 is the 3288569-th square number.

10814686067761 is the 1644285-th centered octagonal number.

It is an amenable number.

10814686067761 is a deficient number, since it is larger than the sum of its proper divisors (270344516432).

10814686067761 is an frugal number, since it uses more digits than its factorization.

10814686067761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160500 (or 80250 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 10814686067761 in words is "ten trillion, eight hundred fourteen billion, six hundred eighty-six million, sixty-seven thousand, seven hundred sixty-one".