8623633248 has 480 divisors, whose sum is σ = 28663455744. Its totient is φ = 2529128448.

The previous prime is 8623633237. The next prime is 8623633261. The reversal of 8623633248 is 8423363268.

8623633248 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 633 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×8623633248² (a number of 21 digits) contains 22 as substring.

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

Its product of digits (995328) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67902561 + ... + 67902687.

Almost surely, 2^8623633248 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 8623633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331727872).

8623633248 is an abundant number, since it is smaller than the sum of its proper divisors (20039822496).

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

8623633248 is a wasteful number, since it uses less digits than its factorization.

8623633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 8623633248 is about 92863.5194680882. The cubic root of 8623633248 is about 2050.6746340382.

The spelling of 8623633248 in words is "eight billion, six hundred twenty-three million, six hundred thirty-three thousand, two hundred forty-eight".