8229818520 has 768 divisors, whose sum is σ = 34909056000. Its totient is φ = 1666344960.

The previous prime is 8229818501. The next prime is 8229818533. The reversal of 8229818520 is 258189228.

8229818520 is a `hidden beast` number, since 8 + 22 + 98 + 18 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99154399 + ... + 99154481.

It is an arithmetic number, because the mean of its divisors is an integer number (45454500).

Almost surely, 2^8229818520 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 8229818520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528000).

8229818520 is an abundant number, since it is smaller than the sum of its proper divisors (26679237480).

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

8229818520 is a wasteful number, since it uses less digits than its factorization.

8229818520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8229818520 is about 90718.3472071664. The cubic root of 8229818520 is about 2018.9710244762.

The spelling of 8229818520 in words is "eight billion, two hundred twenty-nine million, eight hundred eighteen thousand, five hundred twenty".