444665742582816 has 144 divisors (see below), whose sum is σ = 1276832623510080. Its totient is φ = 146778550571520.

The previous prime is 444665742582811. The next prime is 444665742582827. The reversal of 444665742582816 is 618285247566444.

444665742582816 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 6 + 574 + 25 + 8 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×444665742582816³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (444665742582811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101489486 + ... + 1101893106.

It is an arithmetic number, because the mean of its divisors is an integer number (8866893218820).

Almost surely, 2^{444665742582816} 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 444665742582816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638416311755040).

444665742582816 is an abundant number, since it is smaller than the sum of its proper divisors (832166880927264).

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

444665742582816 is a wasteful number, since it uses less digits than its factorization.

444665742582816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440879 (or 440868 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 444665742582816 in words is "four hundred forty-four trillion, six hundred sixty-five billion, seven hundred forty-two million, five hundred eighty-two thousand, eight hundred sixteen".