11628462779201 has 2 divisors, whose sum is σ = 11628462779202. Its totient is φ = 11628462779200.

The previous prime is 11628462779173. The next prime is 11628462779291. The reversal of 11628462779201 is 10297726482611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11529073911601 + 99388867600 = 3395449^2 + 315260^2 .

It is a cyclic number.

It is not a de Polignac number, because 11628462779201 - 2⁶ = 11628462779137 is a prime.

It is a super-2 number, since 2×11628462779201² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11628462779291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5814231389600 + 5814231389601.

It is an arithmetic number, because the mean of its divisors is an integer number (5814231389601).

Almost surely, 2^{11628462779201} is an apocalyptic number.

It is an amenable number.

11628462779201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11628462779201 is an equidigital number, since it uses as much as digits as its factorization.

11628462779201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 11628462779201 in words is "eleven trillion, six hundred twenty-eight billion, four hundred sixty-two million, seven hundred seventy-nine thousand, two hundred one".