11612661000001 has 2 divisors, whose sum is σ = 11612661000002. Its totient is φ = 11612661000000.

The previous prime is 11612660999957. The next prime is 11612661000043. The reversal of 11612661000001 is 10000016621611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7406371746225 + 4206289253776 = 2721465^2 + 2050924^2 .

It is a cyclic number.

It is not a de Polignac number, because 11612661000001 - 2¹¹ = 11612660997953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11612661000001.

It is not a weakly prime, because it can be changed into another prime (11612661000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5806330500000 + 5806330500001.

It is an arithmetic number, because the mean of its divisors is an integer number (5806330500001).

Almost surely, 2^{11612661000001} is an apocalyptic number.

It is an amenable number.

11612661000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11612661000001 is an equidigital number, since it uses as much as digits as its factorization.

11612661000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 11612661000001 its reverse (10000016621611), we get a palindrome (21612677621612).

The spelling of 11612661000001 in words is "eleven trillion, six hundred twelve billion, six hundred sixty-one million, one", and thus it is an aban number.