10885268314089 has 135 divisors (see below), whose sum is σ = 17819435298357. Its totient is φ = 6619047948864.

The previous prime is 10885268314049. The next prime is 10885268314099. The reversal of 10885268314089 is 98041386258801.

The square root of 10885268314089 is 3299283.

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

10885268314089 is a `hidden beast` number, since 10 + 8 + 8 + 526 + 8 + 3 + 14 + 0 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86946547689 + 10798321766400 = 294867^2 + 3286080^2 .

It is not a de Polignac number, because 10885268314089 - 2²⁵ = 10885234759657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10885268314009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62920626007 + ... + 62920626179.

Almost surely, 2^{10885268314089} is an apocalyptic number.

10885268314089 is the 3299283-rd square number.

10885268314089 is the 1649642-nd centered octagonal number.

It is an amenable number.

10885268314089 is a deficient number, since it is larger than the sum of its proper divisors (6934166984268).

10885268314089 is an frugal number, since it uses more digits than its factorization.

10885268314089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 10885268314089 in words is "ten trillion, eight hundred eighty-five billion, two hundred sixty-eight million, three hundred fourteen thousand, eighty-nine".