11565166401121 has 8 divisors (see below), whose sum is σ = 11583730139688. Its totient is φ = 11546604288000.

The previous prime is 11565166401097. The next prime is 11565166401127. The reversal of 11565166401121 is 12110466156511.

It can be written as a sum of positive squares in 4 ways, for example, as 10146066013521 + 1419100387600 = 3185289^2 + 1191260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11565166401121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11565166401127) 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 in 7 ways as a sum of consecutive naturals, for example, 14259291 + ... + 15048511.

It is an arithmetic number, because the mean of its divisors is an integer number (1447966267461).

Almost surely, 2^{11565166401121} is an apocalyptic number.

It is an amenable number.

11565166401121 is a deficient number, since it is larger than the sum of its proper divisors (18563738567).

11565166401121 is an equidigital number, since it uses as much as digits as its factorization.

11565166401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812723.

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 11565166401121 in words is "eleven trillion, five hundred sixty-five billion, one hundred sixty-six million, four hundred one thousand, one hundred twenty-one".