11006646012261 has 6 divisors (see below), whose sum is σ = 15898488684390. Its totient is φ = 7337764008168.

The previous prime is 11006646012251. The next prime is 11006646012269. The reversal of 11006646012261 is 16221064660011.

11006646012261 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 646 + 0 + 1 + 2 + 2 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10963581876900 + 43064135361 = 3311130^2 + 207519^2 .

It is not a de Polignac number, because 11006646012261 - 2³⁷ = 10869207058789 is a prime.

It is a super-2 number, since 2×11006646012261² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006646012269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611480334006 + ... + 611480334023.

It is an arithmetic number, because the mean of its divisors is an integer number (2649748114065).

Almost surely, 2^{11006646012261} is an apocalyptic number.

It is an amenable number.

11006646012261 is a deficient number, since it is larger than the sum of its proper divisors (4891842672129).

11006646012261 is a wasteful number, since it uses less digits than its factorization.

11006646012261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222960668035 (or 1222960668032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11006646012261 in words is "eleven trillion, six billion, six hundred forty-six million, twelve thousand, two hundred sixty-one".