11006661316545 has 64 divisors (see below), whose sum is σ = 19583288524800. Its totient is φ = 5865454365120.

The previous prime is 11006661316471. The next prime is 11006661316549. The reversal of 11006661316545 is 54561316660011.

It is not a de Polignac number, because 11006661316545 - 2¹⁶ = 11006661251009 is a prime.

It is a super-2 number, since 2×11006661316545² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11006661316545.

It is not an unprimeable number, because it can be changed into a prime (11006661316549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288982886 + ... + 1288991424.

It is an arithmetic number, because the mean of its divisors is an integer number (305988883200).

Almost surely, 2^{11006661316545} is an apocalyptic number.

11006661316545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006661316545 is a deficient number, since it is larger than the sum of its proper divisors (8576627208255).

11006661316545 is a wasteful number, since it uses less digits than its factorization.

11006661316545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15187 (or 15181 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 11006661316545 its reverse (54561316660011), we get a palindrome (65567977976556).

The spelling of 11006661316545 in words is "eleven trillion, six billion, six hundred sixty-one million, three hundred sixteen thousand, five hundred forty-five".