8906966016 has 176 divisors, whose sum is σ = 26680827264. Its totient is φ = 2621177856.

The previous prime is 8906965967. The next prime is 8906966021. The reversal of 8906966016 is 6106696098.

It is a super-2 number, since 2×8906966016² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8906966016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913680 + ... + 923376.

Almost surely, 2^8906966016 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 8906966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340413632).

8906966016 is an abundant number, since it is smaller than the sum of its proper divisors (17773861248).

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

8906966016 is a wasteful number, since it uses less digits than its factorization.

8906966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 8906966016 is about 94376.7239100828. The cubic root of 8906966016 is about 2072.8916323735.

The spelling of 8906966016 in words is "eight billion, nine hundred six million, nine hundred sixty-six thousand, sixteen".