321444011122443 has 48 divisors (see below), whose sum is σ = 528646098240000. Its totient is φ = 186307071350400.

The previous prime is 321444011122439. The next prime is 321444011122457. The reversal of 321444011122443 is 344221110444123.

321444011122443 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 4 + 401 + 1 + 1 + 2 + 244 + 3 = 666.

It is not a de Polignac number, because 321444011122443 - 2² = 321444011122439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321444011122398 and 321444011122407.

It is not an unprimeable number, because it can be changed into a prime (321444011172443) 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 47 ways as a sum of consecutive naturals, for example, 2737098 + ... + 25502543.

It is an arithmetic number, because the mean of its divisors is an integer number (11013460380000).

Almost surely, 2^{321444011122443} is an apocalyptic number.

321444011122443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321444011122443 is a deficient number, since it is larger than the sum of its proper divisors (207202087117557).

321444011122443 is a wasteful number, since it uses less digits than its factorization.

321444011122443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28244680 (or 28244677 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 321444011122443 its reverse (344221110444123), we get a palindrome (665665121566566).

The spelling of 321444011122443 in words is "three hundred twenty-one trillion, four hundred forty-four billion, eleven million, one hundred twenty-two thousand, four hundred forty-three".