11628041009 has 8 divisors (see below), whose sum is σ = 12694047912. Its totient is φ = 10586540160.

The previous prime is 11628040961. The next prime is 11628041011. The reversal of 11628041009 is 90014082611.

11628041009 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 201072400 + 11426968609 = 14180^2 + 106897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11628041009 is a prime.

It is a super-2 number, since 2×11628041009² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11628046009) 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 7 ways as a sum of consecutive naturals, for example, 6125522 + ... + 6127419.

It is an arithmetic number, because the mean of its divisors is an integer number (1586755989).

Almost surely, 2^11628041009 is an apocalyptic number.

It is an amenable number.

11628041009 is a deficient number, since it is larger than the sum of its proper divisors (1066006903).

11628041009 is a wasteful number, since it uses less digits than its factorization.

11628041009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253027.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 11628041009 in words is "eleven billion, six hundred twenty-eight million, forty-one thousand, nine".