8214381984 has 144 divisors (see below), whose sum is σ = 22431155040. Its totient is φ = 2631974400.

The previous prime is 8214381941. The next prime is 8214382049. The reversal of 8214381984 is 4891834128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24816699 + ... + 24817029.

It is an arithmetic number, because the mean of its divisors is an integer number (155771910).

Almost surely, 2^8214381984 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 8214381984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215577520).

8214381984 is an abundant number, since it is smaller than the sum of its proper divisors (14216773056).

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

8214381984 is a wasteful number, since it uses less digits than its factorization.

8214381984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 8214381984 is about 90633.2278140859. The cubic root of 8214381984 is about 2017.7079174402.

The spelling of 8214381984 in words is "eight billion, two hundred fourteen million, three hundred eighty-one thousand, nine hundred eighty-four".