444684061334484 has 144 divisors (see below), whose sum is σ = 1192647062880000. Its totient is φ = 139220029145088.

The previous prime is 444684061334483. The next prime is 444684061334509. The reversal of 444684061334484 is 484433160486444.

It is a happy number.

444684061334484 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 8 + 4 + 0 + 613 + 3 + 4 + 4 + 8 + 4 = 666.

It is a super-2 number, since 2×444684061334484² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444684061334483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5828902612 + ... + 5828978900.

It is an arithmetic number, because the mean of its divisors is an integer number (8282271270000).

Almost surely, 2^{444684061334484} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444684061334484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596323531440000).

444684061334484 is an abundant number, since it is smaller than the sum of its proper divisors (747963001545516).

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

444684061334484 is a wasteful number, since it uses less digits than its factorization.

444684061334484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95902 (or 95897 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 63.

The spelling of 444684061334484 in words is "four hundred forty-four trillion, six hundred eighty-four billion, sixty-one million, three hundred thirty-four thousand, four hundred eighty-four".