8241833916 has 144 divisors (see below), whose sum is σ = 22418628960. Its totient is φ = 2645395200.

The previous prime is 8241833909. The next prime is 8241833923. The reversal of 8241833916 is 6193381428.

8241833916 = 588³ + 589³ + ... + 624³.

8241833916 is a `hidden beast` number, since 82 + 4 + 183 + 391 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8241833909) and next prime (8241833923).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3631230 + ... + 3633498.

Almost surely, 2^8241833916 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 8241833916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209314480).

8241833916 is an abundant number, since it is smaller than the sum of its proper divisors (14176795044).

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

8241833916 is a wasteful number, since it uses less digits than its factorization.

8241833916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 8241833916 is about 90784.5466805888. The cubic root of 8241833916 is about 2019.9531012214.

The spelling of 8241833916 in words is "eight billion, two hundred forty-one million, eight hundred thirty-three thousand, nine hundred sixteen".