8166208512 has 704 divisors, whose sum is σ = 30184243200. Its totient is φ = 1897758720.

The previous prime is 8166208483. The next prime is 8166208517. The reversal of 8166208512 is 2158026618.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×8166208512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8166208517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103369689 + ... + 103369767.

Almost surely, 2^8166208512 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 8166208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092121600).

8166208512 is an abundant number, since it is smaller than the sum of its proper divisors (22018034688).

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

8166208512 is a wasteful number, since it uses less digits than its factorization.

8166208512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8166208512 is about 90367.0764825332. The cubic root of 8166208512 is about 2013.7558802998.

The spelling of 8166208512 in words is "eight billion, one hundred sixty-six million, two hundred eight thousand, five hundred twelve".