8094016000 has 480 divisors, whose sum is σ = 24560593200. Its totient is φ = 2649292800.

The previous prime is 8094015991. The next prime is 8094016019. The reversal of 8094016000 is 6104908.

It can be written as a sum of positive squares in 8 ways, for example, as 5531904 + 8088484096 = 2352^2 + 89936^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8094016000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90943956 + ... + 90944044.

Almost surely, 2^8094016000 is an apocalyptic number.

8094016000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8094016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280296600).

8094016000 is an abundant number, since it is smaller than the sum of its proper divisors (16466577200).

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

8094016000 is an equidigital number, since it uses as much as digits as its factorization.

8094016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8094016000 is about 89966.7494133249. The cubic root of 8094016000 is about 2007.8041744874.

The spelling of 8094016000 in words is "eight billion, ninety-four million, sixteen thousand".