11006464641001 has 2 divisors, whose sum is σ = 11006464641002. Its totient is φ = 11006464641000.

The previous prime is 11006464640887. The next prime is 11006464641023. The reversal of 11006464641001 is 10014646460011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7063241720976 + 3943222920025 = 2657676^2 + 1985755^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006464641001 - 2¹³ = 11006464632809 is a prime.

It is a super-2 number, since 2×11006464641001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11006464641071) 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, 5503232320500 + 5503232320501.

It is an arithmetic number, because the mean of its divisors is an integer number (5503232320501).

Almost surely, 2^{11006464641001} is an apocalyptic number.

It is an amenable number.

11006464641001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006464641001 is an equidigital number, since it uses as much as digits as its factorization.

11006464641001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 11006464641001 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred forty-one thousand, one".