444467161764444 has 144 divisors (see below), whose sum is σ = 1299223213080576. Its totient is φ = 117221070153600.

The previous prime is 444467161764343. The next prime is 444467161764467.

444467161764444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1276916709 + ... + 1277264739.

Almost surely, 2^{444467161764444} is an apocalyptic number.

It is an amenable number.

444467161764444 is an abundant number, since it is smaller than the sum of its proper divisors (854756051316132).

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

444467161764444 is a wasteful number, since it uses less digits than its factorization.

444467161764444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515136 (or 515127 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 66.

The spelling of 444467161764444 in words is "four hundred forty-four trillion, four hundred sixty-seven billion, one hundred sixty-one million, seven hundred sixty-four thousand, four hundred forty-four".