11006645634125 has 24 divisors (see below), whose sum is σ = 14226292475304. Its totient is φ = 8501684822400.

The previous prime is 11006645634121. The next prime is 11006645634181. The reversal of 11006645634125 is 52143654660011.

It can be written as a sum of positive squares in 12 ways, for example, as 8815922982244 + 2190722651881 = 2969162^2 + 1480109^2 .

It is not a de Polignac number, because 11006645634125 - 2² = 11006645634121 is a prime.

It is a super-2 number, since 2×11006645634125² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006645634121) 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 23 ways as a sum of consecutive naturals, for example, 52245152 + ... + 52455401.

It is an arithmetic number, because the mean of its divisors is an integer number (592762186471).

Almost surely, 2^{11006645634125} is an apocalyptic number.

It is an amenable number.

11006645634125 is a deficient number, since it is larger than the sum of its proper divisors (3219646841179).

11006645634125 is an equidigital number, since it uses as much as digits as its factorization.

11006645634125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104700626 (or 104700587 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 11006645634125 in words is "eleven trillion, six billion, six hundred forty-five million, six hundred thirty-four thousand, one hundred twenty-five".