10886469286225 has 81 divisors (see below), whose sum is σ = 15287603355633. Its totient is φ = 7686222498240.

The previous prime is 10886469286211. The next prime is 10886469286229. The reversal of 10886469286225 is 52268296468801.

The square root of 10886469286225 is 3299465.

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 2806003562769 + 8080465723456 = 1675113^2 + 2842616^2 .

It is not a de Polignac number, because 10886469286225 - 2¹¹ = 10886469284177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10886469286229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4932699072 + ... + 4932701278.

Almost surely, 2^{10886469286225} is an apocalyptic number.

10886469286225 is the 3299465-th square number.

10886469286225 is the 1649733-rd centered octagonal number.

It is an amenable number.

10886469286225 is a deficient number, since it is larger than the sum of its proper divisors (4401134069408).

10886469286225 is an frugal number, since it uses more digits than its factorization.

10886469286225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 67.

The spelling of 10886469286225 in words is "ten trillion, eight hundred eighty-six billion, four hundred sixty-nine million, two hundred eighty-six thousand, two hundred twenty-five".