10956436929 has 81 divisors (see below), whose sum is σ = 17428012329. Its totient is φ = 6632081280.

The previous prime is 10956436927. The next prime is 10956436943. The reversal of 10956436929 is 92963465901.

The square root of 10956436929 is 104673.

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

10956436929 is a `hidden beast` number, since 10 + 9 + 564 + 3 + 69 + 2 + 9 = 666.

10956436929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 129618225 + 10826818704 = 11385^2 + 104052^2 .

It is not a de Polignac number, because 10956436929 - 2¹ = 10956436927 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10956436927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 267230149 + ... + 267230189.

Almost surely, 2^10956436929 is an apocalyptic number.

10956436929 is the 104673-rd square number.

10956436929 is the 52337-th centered octagonal number.

It is an amenable number.

10956436929 is a deficient number, since it is larger than the sum of its proper divisors (6471575400).

10956436929 is an equidigital number, since it uses as much as digits as its factorization.

10956436929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 10956436929 in words is "ten billion, nine hundred fifty-six million, four hundred thirty-six thousand, nine hundred twenty-nine".