8218563444 has 144 divisors (see below), whose sum is σ = 26113371648. Its totient is φ = 2121375744.

The previous prime is 8218563427. The next prime is 8218563497. The reversal of 8218563444 is 4443658128.

8218563444 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 5 + 634 + 4 + 4 = 666.

It is a super-2 number, since 2×8218563444² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8218563444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127284 + ... + 180660.

Almost surely, 2^8218563444 is an apocalyptic number.

8218563444 is a gapful number since it is divisible by the number (84) 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 8218563444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056685824).

8218563444 is an abundant number, since it is smaller than the sum of its proper divisors (17894808204).

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

8218563444 is a wasteful number, since it uses less digits than its factorization.

8218563444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53454 (or 53449 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8218563444 is about 90656.2929089867. The cubic root of 8218563444 is about 2018.0502249435.

The spelling of 8218563444 in words is "eight billion, two hundred eighteen million, five hundred sixty-three thousand, four hundred forty-four".