8212974336 has 216 divisors, whose sum is σ = 27937588224. Its totient is φ = 2270730240.

The previous prime is 8212974313. The next prime is 8212974337. The reversal of 8212974336 is 6334792128.

8212974336 is a `hidden beast` number, since 8 + 21 + 297 + 4 + 336 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8212974291 and 8212974300.

It is not an unprimeable number, because it can be changed into a prime (8212974337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491755 + ... + 508181.

Almost surely, 2^8212974336 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 8212974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968794112).

8212974336 is an abundant number, since it is smaller than the sum of its proper divisors (19724613888).

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

8212974336 is a wasteful number, since it uses less digits than its factorization.

8212974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487 (or 16470 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 8212974336 is about 90625.4618526162. The cubic root of 8212974336 is about 2017.5926568004.

The spelling of 8212974336 in words is "eight billion, two hundred twelve million, nine hundred seventy-four thousand, three hundred thirty-six".