11006455211677 has 2 divisors, whose sum is σ = 11006455211678. Its totient is φ = 11006455211676.

The previous prime is 11006455211659. The next prime is 11006455211681. The reversal of 11006455211677 is 77611255460011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8730523924516 + 2275931287161 = 2954746^2 + 1508619^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006455211677 - 2¹⁵ = 11006455178909 is a prime.

It is a super-2 number, since 2×11006455211677² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11006455211377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503227605838 + 5503227605839.

It is an arithmetic number, because the mean of its divisors is an integer number (5503227605839).

Almost surely, 2^{11006455211677} is an apocalyptic number.

It is an amenable number.

11006455211677 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006455211677 is an equidigital number, since it uses as much as digits as its factorization.

11006455211677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 11006455211677 in words is "eleven trillion, six billion, four hundred fifty-five million, two hundred eleven thousand, six hundred seventy-seven".