8466208128 has 640 divisors, whose sum is σ = 30710845440. Its totient is φ = 2264371200.

The previous prime is 8466208103. The next prime is 8466208139. The reversal of 8466208128 is 8218026648.

8466208128 is a `hidden beast` number, since 8 + 4 + 6 + 620 + 8 + 12 + 8 = 666.

It is a super-2 number, since 2×8466208128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119242333 + ... + 119242403.

It is an arithmetic number, because the mean of its divisors is an integer number (47985696).

Almost surely, 2^8466208128 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 8466208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355422720).

8466208128 is an abundant number, since it is smaller than the sum of its proper divisors (22244637312).

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

8466208128 is a wasteful number, since it uses less digits than its factorization.

8466208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8466208128 is about 92011.9999130548. Note that the first 4 decimals coincide. The cubic root of 8466208128 is about 2038.1195127602.

The spelling of 8466208128 in words is "eight billion, four hundred sixty-six million, two hundred eight thousand, one hundred twenty-eight".