8386561152 has 320 divisors, whose sum is σ = 25944118200. Its totient is φ = 2687385600.

The previous prime is 8386561147. The next prime is 8386561171. The reversal of 8386561152 is 2511656838.

8386561152 is a `hidden beast` number, since 8 + 3 + 86 + 561 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3129731136 + 5256830016 = 55944^2 + 72504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8386561098 and 8386561107.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46334502 + ... + 46334682.

Almost surely, 2^8386561152 is an apocalyptic number.

8386561152 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8386561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972059100).

8386561152 is an abundant number, since it is smaller than the sum of its proper divisors (17557557048).

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

8386561152 is a wasteful number, since it uses less digits than its factorization.

8386561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 8386561152 is about 91578.1696257356. The cubic root of 8386561152 is about 2031.7080718116.

The spelling of 8386561152 in words is "eight billion, three hundred eighty-six million, five hundred sixty-one thousand, one hundred fifty-two".