444642246444 has 96 divisors (see below), whose sum is σ = 1184339149056. Its totient is φ = 128624820480.

The previous prime is 444642246431. The next prime is 444642246467.

It is a happy number.

444642246444 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 444642246393 and 444642246402.

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 31 ways as a sum of consecutive naturals, for example, 600022 + ... + 1117725.

It is an arithmetic number, because the mean of its divisors is an integer number (12336866136).

Almost surely, 2^444642246444 is an apocalyptic number.

444642246444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444642246444 is an abundant number, since it is smaller than the sum of its proper divisors (739696902612).

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

444642246444 is a wasteful number, since it uses less digits than its factorization.

444642246444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717855 (or 1717853 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 444642246444 in words is "four hundred forty-four billion, six hundred forty-two million, two hundred forty-six thousand, four hundred forty-four".