8283618252 has 672 divisors, whose sum is σ = 29614878720. Its totient is φ = 1965150720.

The previous prime is 8283618227. The next prime is 8283618331. The reversal of 8283618252 is 2528163828.

8283618252 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 618 + 25 + 2 = 666.

Its product of digits (368640) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8283618198 and 8283618207.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 156294658 + ... + 156294710.

It is an arithmetic number, because the mean of its divisors is an integer number (44069760).

Almost surely, 2^8283618252 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 8283618252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807439360).

8283618252 is an abundant number, since it is smaller than the sum of its proper divisors (21331260468).

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

8283618252 is a wasteful number, since it uses less digits than its factorization.

8283618252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8283618252 is about 91014.3848630534. The cubic root of 8283618252 is about 2023.3609255109.

The spelling of 8283618252 in words is "eight billion, two hundred eighty-three million, six hundred eighteen thousand, two hundred fifty-two".