444334343433444 has 96 divisors (see below), whose sum is σ = 1183144094899200. Its totient is φ = 144104583168000.

The previous prime is 444334343433439. The next prime is 444334343433451.

444334343433444 is a `hidden beast` number, since 44 + 43 + 3 + 43 + 43 + 43 + 3 + 444 = 666.

444334343433444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444334343433444² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149937069 + ... + 152871819.

It is an arithmetic number, because the mean of its divisors is an integer number (12324417655200).

Almost surely, 2^{444334343433444} is an apocalyptic number.

It is an amenable number.

444334343433444 is an abundant number, since it is smaller than the sum of its proper divisors (738809751465756).

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

444334343433444 is a wasteful number, since it uses less digits than its factorization.

444334343433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972690 (or 2972682 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 54.

The spelling of 444334343433444 in words is "four hundred forty-four trillion, three hundred thirty-four billion, three hundred forty-three million, four hundred thirty-three thousand, four hundred forty-four".