11456829036 has 72 divisors (see below), whose sum is σ = 29772301104. Its totient is φ = 3712072320.

The previous prime is 11456829031. The next prime is 11456829071. The reversal of 11456829036 is 63092865411.

11456829036 is a `hidden beast` number, since 1 + 1 + 456 + 82 + 90 + 36 = 666.

11456829036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11456828982 and 11456829000.

It is not an unprimeable number, because it can be changed into a prime (11456829031) 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 23 ways as a sum of consecutive naturals, for example, 1569451 + ... + 1576733.

It is an arithmetic number, because the mean of its divisors is an integer number (413504182).

Almost surely, 2^11456829036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456829036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886150552).

11456829036 is an abundant number, since it is smaller than the sum of its proper divisors (18315472068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11456829036 is a wasteful number, since it uses less digits than its factorization.

11456829036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11456829036 in words is "eleven billion, four hundred fifty-six million, eight hundred twenty-nine thousand, thirty-six".