444657666756444 has 24 divisors (see below), whose sum is σ = 1037537458800528. Its totient is φ = 148218807532800.

The previous prime is 444657666756431. The next prime is 444657666756481.

444657666756444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444657666756444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47356957 + ... + 55964244.

It is an arithmetic number, because the mean of its divisors is an integer number (43230727450022).

Almost surely, 2^{444657666756444} is an apocalyptic number.

It is an amenable number.

444657666756444 is an abundant number, since it is smaller than the sum of its proper divisors (592879792044084).

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

444657666756444 is a wasteful number, since it uses less digits than its factorization.

444657666756444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103679845 (or 103679843 counting only the distinct ones).

The product of its digits is 39016857600, while the sum is 78.

The spelling of 444657666756444 in words is "four hundred forty-four trillion, six hundred fifty-seven billion, six hundred sixty-six million, seven hundred fifty-six thousand, four hundred forty-four".