8163219456 has 288 divisors, whose sum is σ = 27188179200. Its totient is φ = 2311372800.

The previous prime is 8163219437. The next prime is 8163219457. The reversal of 8163219456 is 6549123618.

8163219456 is a `hidden beast` number, since 8 + 1 + 632 + 1 + 9 + 4 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8163219457) 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, 19482415 + ... + 19482833.

It is an arithmetic number, because the mean of its divisors is an integer number (94403400).

Almost surely, 2^8163219456 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 8163219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594089600).

8163219456 is an abundant number, since it is smaller than the sum of its proper divisors (19024959744).

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

8163219456 is a wasteful number, since it uses less digits than its factorization.

8163219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 582 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 8163219456 is about 90350.5365562375. The cubic root of 8163219456 is about 2013.5101537124.

The spelling of 8163219456 in words is "eight billion, one hundred sixty-three million, two hundred nineteen thousand, four hundred fifty-six".