444617017344 has 72 divisors (see below), whose sum is σ = 1284135628230. Its totient is φ = 148205666304.

The previous prime is 444617017307. The next prime is 444617017357. The reversal of 444617017344 is 443710716444.

444617017344 is a `hidden beast` number, since 4 + 446 + 170 + 1 + 7 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228101760000 + 216515257344 = 477600^2 + 465312^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×444617017344² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444617017344.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12042577 + ... + 12079440.

Almost surely, 2^444617017344 is an apocalyptic number.

It is an amenable number.

444617017344 is an abundant number, since it is smaller than the sum of its proper divisors (839518610886).

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

444617017344 is a wasteful number, since it uses less digits than its factorization.

444617017344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122045 (or 24122022 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 444617017344 in words is "four hundred forty-four billion, six hundred seventeen million, seventeen thousand, three hundred forty-four".