11006634466057 has 2 divisors, whose sum is σ = 11006634466058. Its totient is φ = 11006634466056.

The previous prime is 11006634466049. The next prime is 11006634466111. The reversal of 11006634466057 is 75066443660011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8909962321936 + 2096672144121 = 2984956^2 + 1447989^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006634466057 - 2³ = 11006634466049 is a prime.

It is a super-2 number, since 2×11006634466057² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006634466057.

It is not a weakly prime, because it can be changed into another prime (11006634466757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503317233028 + 5503317233029.

It is an arithmetic number, because the mean of its divisors is an integer number (5503317233029).

Almost surely, 2^{11006634466057} is an apocalyptic number.

It is an amenable number.

11006634466057 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006634466057 is an equidigital number, since it uses as much as digits as its factorization.

11006634466057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 11006634466057 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred sixty-six thousand, fifty-seven".