8163213408 has 288 divisors, whose sum is σ = 28670241600. Its totient is φ = 2194698240.

The previous prime is 8163213407. The next prime is 8163213437. The reversal of 8163213408 is 8043123618.

8163213408 is a `hidden beast` number, since 8 + 1 + 632 + 13 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8163213403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676898 + ... + 1681758.

It is an arithmetic number, because the mean of its divisors is an integer number (99549450).

Almost surely, 2^8163213408 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 8163213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335120800).

8163213408 is an abundant number, since it is smaller than the sum of its proper divisors (20507028192).

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

8163213408 is a wasteful number, since it uses less digits than its factorization.

8163213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8163213408 is about 90350.5030865905. The cubic root of 8163213408 is about 2013.5096564531.

The spelling of 8163213408 in words is "eight billion, one hundred sixty-three million, two hundred thirteen thousand, four hundred eight".