8012416896 has 384 divisors, whose sum is σ = 26991843840. Its totient is φ = 2256629760.

The previous prime is 8012416889. The next prime is 8012416901. The reversal of 8012416896 is 6986142108.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10783501 + ... + 10784243.

It is an arithmetic number, because the mean of its divisors is an integer number (70291260).

Almost surely, 2^8012416896 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 8012416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495921920).

8012416896 is an abundant number, since it is smaller than the sum of its proper divisors (18979426944).

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

8012416896 is a wasteful number, since it uses less digits than its factorization.

8012416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8012416896 is about 89512.1047456711. The cubic root of 8012416896 is about 2001.0342064497.

It can be divided in two parts, 80124 and 16896, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 8012416896 in words is "eight billion, twelve million, four hundred sixteen thousand, eight hundred ninety-six".