11129264001 has 20 divisors (see below), whose sum is σ = 16635550932. Its totient is φ = 7414888608.

The previous prime is 11129263949. The next prime is 11129264017. The reversal of 11129264001 is 10046292111.

11129264001 is a `hidden beast` number, since 1 + 1 + 12 + 9 + 2 + 640 + 0 + 1 = 666.

11129264001 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 2 ways, for example, as 4153673601 + 6975590400 = 64449^2 + 83520^2 .

It is not a de Polignac number, because 11129264001 - 2³⁰ = 10055522177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11129264071) 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 19 ways as a sum of consecutive naturals, for example, 90631 + ... + 174563.

Almost surely, 2^11129264001 is an apocalyptic number.

It is an amenable number.

11129264001 is a deficient number, since it is larger than the sum of its proper divisors (5506286931).

11129264001 is an equidigital number, since it uses as much as digits as its factorization.

11129264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85582 (or 85573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11129264001 in words is "eleven billion, one hundred twenty-nine million, two hundred sixty-four thousand, one".