8214441984 has 416 divisors, whose sum is σ = 28371002880. Its totient is φ = 2329067520.

The previous prime is 8214441959. The next prime is 8214442003. The reversal of 8214441984 is 4891444128.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62705599 + ... + 62705729.

Almost surely, 2^8214441984 is an apocalyptic number.

8214441984 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 8214441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185501440).

8214441984 is an abundant number, since it is smaller than the sum of its proper divisors (20156560896).

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

8214441984 is an frugal number, since it uses more digits than its factorization.

8214441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 8214441984 is about 90633.5588179125. The cubic root of 8214441984 is about 2017.7128300508.

The spelling of 8214441984 in words is "eight billion, two hundred fourteen million, four hundred forty-one thousand, nine hundred eighty-four".