8233102656 has 224 divisors, whose sum is σ = 25277429760. Its totient is φ = 2625177600.

The previous prime is 8233102651. The next prime is 8233102663. The reversal of 8233102656 is 6562013328.

It is a happy number.

8233102656 is a `hidden beast` number, since 82 + 3 + 310 + 265 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8233102656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8233102651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3899041 + ... + 3901151.

Almost surely, 2^8233102656 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 8233102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638714880).

8233102656 is an abundant number, since it is smaller than the sum of its proper divisors (17044327104).

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

8233102656 is a wasteful number, since it uses less digits than its factorization.

8233102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8233102656 is about 90736.4461283337. The cubic root of 8233102656 is about 2019.2395477581.

It can be divided in two parts, 8233 and 102656, that added together give a square (110889 = 333²).

The spelling of 8233102656 in words is "eight billion, two hundred thirty-three million, one hundred two thousand, six hundred fifty-six".