441164713667468 has 48 divisors (see below), whose sum is σ = 884491262055744. Its totient is φ = 188607408353280.

The previous prime is 441164713667429. The next prime is 441164713667471. The reversal of 441164713667468 is 864766317461144.

It is a junction number, because it is equal to n+sod(n) for n = 441164713667398 and 441164713667407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157240580 + ... + 160021652.

It is an arithmetic number, because the mean of its divisors is an integer number (18426901292828).

Almost surely, 2^{441164713667468} is an apocalyptic number.

It is an amenable number.

441164713667468 is an abundant number, since it is smaller than the sum of its proper divisors (443326548388276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441164713667468 is a wasteful number, since it uses less digits than its factorization.

441164713667468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794962 (or 2794960 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 68.

The spelling of 441164713667468 in words is "four hundred forty-one trillion, one hundred sixty-four billion, seven hundred thirteen million, six hundred sixty-seven thousand, four hundred sixty-eight".