22644645132321 has 81 divisors (see below), whose sum is σ = 34340888003539. Its totient is φ = 14378399049504.

The previous prime is 22644645132311. The next prime is 22644645132359. The reversal of 22644645132321 is 12323154644622.

The square root of 22644645132321 is 4758639.

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

22644645132321 is a `hidden beast` number, since 2 + 2 + 6 + 44 + 64 + 513 + 2 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11874302619921 + 10770342512400 = 3445911^2 + 3281820^2 .

It is not a de Polignac number, because 22644645132321 - 2⁵ = 22644645132289 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22644645132311) 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 80 ways as a sum of consecutive naturals, for example, 34362131890 + ... + 34362132548.

Almost surely, 2^{22644645132321} is an apocalyptic number.

22644645132321 is the 4758639-th square number.

22644645132321 is the 2379320-th centered octagonal number.

It is an amenable number.

22644645132321 is a deficient number, since it is larger than the sum of its proper divisors (11696242871218).

22644645132321 is an frugal number, since it uses more digits than its factorization.

22644645132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 774 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 22644645132321 its reverse (12323154644622), we get a palindrome (34967799776943).

The spelling of 22644645132321 in words is "twenty-two trillion, six hundred forty-four billion, six hundred forty-five million, one hundred thirty-two thousand, three hundred twenty-one".