8312217984 has 384 divisors, whose sum is σ = 28942018560. Its totient is φ = 2239488000.

The previous prime is 8312217937. The next prime is 8312217989. The reversal of 8312217984 is 4897122138.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8312217989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10248939 + ... + 10249749.

It is an arithmetic number, because the mean of its divisors is an integer number (75369840).

Almost surely, 2^8312217984 is an apocalyptic number.

8312217984 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 8312217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471009280).

8312217984 is an abundant number, since it is smaller than the sum of its proper divisors (20629800576).

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

8312217984 is a wasteful number, since it uses less digits than its factorization.

8312217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 8312217984 is about 91171.3660312272. The cubic root of 8312217984 is about 2025.6868459280.

The spelling of 8312217984 in words is "eight billion, three hundred twelve million, two hundred seventeen thousand, nine hundred eighty-four".