8321211216 has 160 divisors (see below), whose sum is σ = 25109464320. Its totient is φ = 2633342976.

The previous prime is 8321211191. The next prime is 8321211233. The reversal of 8321211216 is 6121121238.

It is a super-2 number, since 2×8321211216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8321211216.

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, 1358176 + ... + 1364288.

It is an arithmetic number, because the mean of its divisors is an integer number (156934152).

Almost surely, 2^8321211216 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 8321211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554732160).

8321211216 is an abundant number, since it is smaller than the sum of its proper divisors (16788253104).

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

8321211216 is a wasteful number, since it uses less digits than its factorization.

8321211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6278 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8321211216 is about 91220.6731832209. The cubic root of 8321211216 is about 2026.4171325872.

The spelling of 8321211216 in words is "eight billion, three hundred twenty-one million, two hundred eleven thousand, two hundred sixteen".