8165064456 has 96 divisors (see below), whose sum is σ = 22875091200. Its totient is φ = 2628351360.

The previous prime is 8165064431. The next prime is 8165064473. The reversal of 8165064456 is 6544605618.

8165064456 is a `hidden beast` number, since 81 + 65 + 0 + 64 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132495 + ... + 1139681.

It is an arithmetic number, because the mean of its divisors is an integer number (238282200).

Almost surely, 2^8165064456 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 8165064456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437545600).

8165064456 is an abundant number, since it is smaller than the sum of its proper divisors (14710026744).

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

8165064456 is a wasteful number, since it uses less digits than its factorization.

8165064456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8165064456 is about 90360.7462120583. The cubic root of 8165064456 is about 2013.6618359588.

The spelling of 8165064456 in words is "eight billion, one hundred sixty-five million, sixty-four thousand, four hundred fifty-six".