8233208256 has 448 divisors, whose sum is σ = 28978725888. Its totient is φ = 2001272832.

The previous prime is 8233208161. The next prime is 8233208293. The reversal of 8233208256 is 6528023328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15742011 + ... + 15742533.

It is an arithmetic number, because the mean of its divisors is an integer number (64684656).

Almost surely, 2^8233208256 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 8233208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489362944).

8233208256 is an abundant number, since it is smaller than the sum of its proper divisors (20745517632).

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

8233208256 is a wasteful number, since it uses less digits than its factorization.

8233208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 8233208256 is about 90737.0280315594. The cubic root of 8233208256 is about 2019.2481808253.

The spelling of 8233208256 in words is "eight billion, two hundred thirty-three million, two hundred eight thousand, two hundred fifty-six".