444918344832 has 480 divisors, whose sum is σ = 1480186920960. Its totient is φ = 132465715200.

The previous prime is 444918344813. The next prime is 444918344881. The reversal of 444918344832 is 238443819444.

444918344832 is a `hidden beast` number, since 4 + 4 + 4 + 91 + 83 + 448 + 32 = 666.

It is a super-2 number, since 2×444918344832² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54313857 + ... + 54322047.

It is an arithmetic number, because the mean of its divisors is an integer number (3083722752).

Almost surely, 2^444918344832 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 444918344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740093460480).

444918344832 is an abundant number, since it is smaller than the sum of its proper divisors (1035268576128).

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

444918344832 is a wasteful number, since it uses less digits than its factorization.

444918344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8240 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 444918344832 in words is "four hundred forty-four billion, nine hundred eighteen million, three hundred forty-four thousand, eight hundred thirty-two".