444515433454014 has 96 divisors (see below), whose sum is σ = 996021294681600. Its totient is φ = 132038130107520.

The previous prime is 444515433454013. The next prime is 444515433454019. The reversal of 444515433454014 is 410454334515444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444515433454013) 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, 198583167 + ... + 200809125.

It is an arithmetic number, because the mean of its divisors is an integer number (10375221819600).

Almost surely, 2^{444515433454014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444515433454014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498010647340800).

444515433454014 is an abundant number, since it is smaller than the sum of its proper divisors (551505861227586).

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

444515433454014 is a wasteful number, since it uses less digits than its factorization.

444515433454014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232810 (or 2232797 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 51.

Adding to 444515433454014 its reverse (410454334515444), we get a palindrome (854969767969458).

The spelling of 444515433454014 in words is "four hundred forty-four trillion, five hundred fifteen billion, four hundred thirty-three million, four hundred fifty-four thousand, fourteen".