444543345444 has 288 divisors, whose sum is σ = 1205211764736. Its totient is φ = 126323919360.

The previous prime is 444543345431. The next prime is 444543345509.

444543345444 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444543345393 and 444543345402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2727259707 + ... + 2727259869.

It is an arithmetic number, because the mean of its divisors is an integer number (4184763072).

Almost surely, 2^444543345444 is an apocalyptic number.

444543345444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444543345444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602605882368).

444543345444 is an abundant number, since it is smaller than the sum of its proper divisors (760668419292).

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

444543345444 is a wasteful number, since it uses less digits than its factorization.

444543345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 372 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 444543 and 345444, that added together give a palindrome (789987).

The spelling of 444543345444 in words is "four hundred forty-four billion, five hundred forty-three million, three hundred forty-five thousand, four hundred forty-four".