8406561852 has 72 divisors (see below), whose sum is σ = 22922643744. Its totient is φ = 2582326656.

The previous prime is 8406561851. The next prime is 8406561853. The reversal of 8406561852 is 2581656048.

8406561852 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 561 + 85 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8406561851) and next prime (8406561853).

It is a junction number, because it is equal to n+sod(n) for n = 8406561798 and 8406561807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406561851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272233 + ... + 301535.

It is an arithmetic number, because the mean of its divisors is an integer number (318370052).

Almost surely, 2^8406561852 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 8406561852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461321872).

8406561852 is an abundant number, since it is smaller than the sum of its proper divisors (14516081892).

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

8406561852 is a wasteful number, since it uses less digits than its factorization.

8406561852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29939 (or 29934 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8406561852 is about 91687.3047482584. The cubic root of 8406561852 is about 2033.3218966898.

The spelling of 8406561852 in words is "eight billion, four hundred six million, five hundred sixty-one thousand, eight hundred fifty-two".