44468555586444 has 144 divisors (see below), whose sum is σ = 123724140138144. Its totient is φ = 13354606540800.

The previous prime is 44468555586353. The next prime is 44468555586451.

44468555586444 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 8 + 5 + 5 + 558 + 64 + 4 + 4 = 666.

44468555586444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450160242 + ... + 450259014.

It is an arithmetic number, because the mean of its divisors is an integer number (859195417626).

Almost surely, 2^{44468555586444} is an apocalyptic number.

44468555586444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44468555586444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61862070069072).

44468555586444 is an abundant number, since it is smaller than the sum of its proper divisors (79255584551700).

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

44468555586444 is a wasteful number, since it uses less digits than its factorization.

44468555586444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108968 (or 108963 counting only the distinct ones).

The product of its digits is 5898240000, while the sum is 72.

The spelling of 44468555586444 in words is "forty-four trillion, four hundred sixty-eight billion, five hundred fifty-five million, five hundred eighty-six thousand, four hundred forty-four".