444211202112444 has 144 divisors (see below), whose sum is σ = 1269854385613632. Its totient is φ = 129905020118016.

The previous prime is 444211202112427. The next prime is 444211202112539.

444211202112444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 1 + 1 + 202 + 1 + 1 + 2 + 444 = 666.

444211202112444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444211202112399 and 444211202112408.

It is a congruent number.

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, 129737529 + ... + 133117424.

It is an arithmetic number, because the mean of its divisors is an integer number (8818433233428).

Almost surely, 2^{444211202112444} is an apocalyptic number.

It is an amenable number.

444211202112444 is an abundant number, since it is smaller than the sum of its proper divisors (825643183501188).

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

444211202112444 is a wasteful number, since it uses less digits than its factorization.

444211202112444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262855156 (or 262855151 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 44421120 and 2112444, that added together give a palindrome (46533564).

The spelling of 444211202112444 in words is "four hundred forty-four trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, four hundred forty-four".