8214675336 has 192 divisors, whose sum is σ = 25851571200. Its totient is φ = 2308086144.

The previous prime is 8214675299. The next prime is 8214675367. The reversal of 8214675336 is 6335764128.

Its product of digits (725760) is a multiple of the sum of its prime factors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 8214675291 and 8214675300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15017415 + ... + 15017961.

It is an arithmetic number, because the mean of its divisors is an integer number (134643600).

Almost surely, 2^8214675336 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 8214675336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925785600).

8214675336 is an abundant number, since it is smaller than the sum of its proper divisors (17636895864).

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

8214675336 is a wasteful number, since it uses less digits than its factorization.

8214675336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1001 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 8214675336 is about 90634.8461465015. The cubic root of 8214675336 is about 2017.7319359485.

The spelling of 8214675336 in words is "eight billion, two hundred fourteen million, six hundred seventy-five thousand, three hundred thirty-six".