444335271648 has 48 divisors (see below), whose sum is σ = 1171908009216. Its totient is φ = 147409799040.

The previous prime is 444335271571. The next prime is 444335271649. The reversal of 444335271648 is 846172533444.

444335271648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444335271648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444335271649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10947736 + ... + 10988247.

It is an arithmetic number, because the mean of its divisors is an integer number (24414750192).

Almost surely, 2^444335271648 is an apocalyptic number.

444335271648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444335271648 is an abundant number, since it is smaller than the sum of its proper divisors (727572737568).

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

444335271648 is a wasteful number, since it uses less digits than its factorization.

444335271648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21936207 (or 21936199 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 444335271648 in words is "four hundred forty-four billion, three hundred thirty-five million, two hundred seventy-one thousand, six hundred forty-eight".