8274825216 has 390 divisors, whose sum is σ = 28811596770. Its totient is φ = 2359590912.

The previous prime is 8274825211. The next prime is 8274825239. The reversal of 8274825216 is 6125284728.

8274825216 is a `hidden beast` number, since 82 + 7 + 48 + 2 + 521 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7868399616 + 406425600 = 88704^2 + 20160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274825211) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256770 + ... + 16257278.

Almost surely, 2^8274825216 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 8274825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405798385).

8274825216 is an abundant number, since it is smaller than the sum of its proper divisors (20536771554).

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

8274825216 is an equidigital number, since it uses as much as digits as its factorization.

8274825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 521 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 8274825216 is about 90966.0662884792. The cubic root of 8274825216 is about 2022.6447415184.

The spelling of 8274825216 in words is "eight billion, two hundred seventy-four million, eight hundred twenty-five thousand, two hundred sixteen".