11006662136665 has 64 divisors (see below), whose sum is σ = 15097176021312. Its totient is φ = 7647149260800.

The previous prime is 11006662136611. The next prime is 11006662136689. The reversal of 11006662136665 is 56663126660011.

It can be written as a sum of positive squares in 32 ways, for example, as 9296907140889 + 1709754995776 = 3049083^2 + 1307576^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11006662136665 is a prime.

It is a super-2 number, since 2×11006662136665² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10648455 + ... + 11636275.

It is an arithmetic number, because the mean of its divisors is an integer number (235893375333).

Almost surely, 2^{11006662136665} is an apocalyptic number.

It is an amenable number.

11006662136665 is a deficient number, since it is larger than the sum of its proper divisors (4090513884647).

11006662136665 is a wasteful number, since it uses less digits than its factorization.

11006662136665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988030.

The product of its (nonzero) digits is 1399680, while the sum is 49.

Adding to 11006662136665 its reverse (56663126660011), we get a palindrome (67669788796676).

The spelling of 11006662136665 in words is "eleven trillion, six billion, six hundred sixty-two million, one hundred thirty-six thousand, six hundred sixty-five".