10556946009 has 27 divisors (see below), whose sum is σ = 15806262589. Its totient is φ = 6789521760.

The previous prime is 10556945989. The next prime is 10556946017. The reversal of 10556946009 is 90064965501.

It is a happy number.

The square root of 10556946009 is 102747.

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

10556946009 is a `hidden beast` number, since 1 + 0 + 556 + 94 + 6 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2586027609 + 7970918400 = 50853^2 + 89280^2 .

It is not a de Polignac number, because 10556946009 - 2¹⁹ = 10556421721 is a prime.

It is a super-2 number, since 2×10556946009² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10556946109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8938399 + ... + 8939579.

Almost surely, 2^10556946009 is an apocalyptic number.

10556946009 is the 102747-th square number.

10556946009 is the 51374-th centered octagonal number.

It is an amenable number.

10556946009 is a deficient number, since it is larger than the sum of its proper divisors (5249316580).

10556946009 is an frugal number, since it uses more digits than its factorization.

10556946009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10556946009 in words is "ten billion, five hundred fifty-six million, nine hundred forty-six thousand, nine".