11628040961 has 2 divisors, whose sum is σ = 11628040962. Its totient is φ = 11628040960.

The previous prime is 11628040939. The next prime is 11628041011. The reversal of 11628040961 is 16904082611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7727289025 + 3900751936 = 87905^2 + 62456^2 .

It is a cyclic number.

It is not a de Polignac number, because 11628040961 - 2¹⁸ = 11627778817 is a prime.

It is a super-2 number, since 2×11628040961² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11628046961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5814020480 + 5814020481.

It is an arithmetic number, because the mean of its divisors is an integer number (5814020481).

Almost surely, 2^11628040961 is an apocalyptic number.

It is an amenable number.

11628040961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11628040961 is an equidigital number, since it uses as much as digits as its factorization.

11628040961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 11628040961 in words is "eleven billion, six hundred twenty-eight million, forty thousand, nine hundred sixty-one".