11821446162289 has 15 divisors (see below), whose sum is σ = 12561333541687. Its totient is φ = 11125131776896.

The previous prime is 11821446162137. The next prime is 11821446162367. The reversal of 11821446162289 is 98226164412811.

It is a happy number.

The square root of 11821446162289 is 3438233.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2893349970225 + 8928096192064 = 1700985^2 + 2987992^2 .

It is not a de Polignac number, because 11821446162289 - 2¹⁹ = 11821445638001 is a prime.

It is a super-5 number, since 5×11821446162289⁵ (a number of 67 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11821446168289) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 993643389 + ... + 993655285.

Almost surely, 2^{11821446162289} is an apocalyptic number.

11821446162289 is the 3438233-rd square number.

11821446162289 is the 1719117-th centered octagonal number.

It is an amenable number.

11821446162289 is a deficient number, since it is larger than the sum of its proper divisors (739887379398).

11821446162289 is an frugal number, since it uses more digits than its factorization.

11821446162289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23862 (or 11914 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 55.

The spelling of 11821446162289 in words is "eleven trillion, eight hundred twenty-one billion, four hundred forty-six million, one hundred sixty-two thousand, two hundred eighty-nine".