11006645634666 has 24 divisors (see below), whose sum is σ = 26015707864224. Its totient is φ = 3335347161960.

The previous prime is 11006645634653. The next prime is 11006645634679. The reversal of 11006645634666 is 66643654660011.

It is an interprime number because it is at equal distance from previous prime (11006645634653) and next prime (11006645634679).

It is a super-2 number, since 2×11006645634666² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27794559486 + ... + 27794559881.

It is an arithmetic number, because the mean of its divisors is an integer number (1083987827676).

Almost surely, 2^{11006645634666} is an apocalyptic number.

11006645634666 is an abundant number, since it is smaller than the sum of its proper divisors (15009062229558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11006645634666 is a wasteful number, since it uses less digits than its factorization.

11006645634666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55589119386 (or 55589119383 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 11006645634666 in words is "eleven trillion, six billion, six hundred forty-five million, six hundred thirty-four thousand, six hundred sixty-six".