8008938112 has 64 divisors (see below), whose sum is σ = 18248616000. Its totient is φ = 3429771264.

The previous prime is 8008938107. The next prime is 8008938127. The reversal of 8008938112 is 2118398008.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8008938112² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1568139 + ... + 1573237.

It is an arithmetic number, because the mean of its divisors is an integer number (285134625).

Almost surely, 2^8008938112 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 8008938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124308000).

8008938112 is an abundant number, since it is smaller than the sum of its proper divisors (10239677888).

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

8008938112 is a wasteful number, since it uses less digits than its factorization.

8008938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 8008938112 is about 89492.6707166570. The cubic root of 8008938112 is about 2000.7445654434.

The spelling of 8008938112 in words is "eight billion, eight million, nine hundred thirty-eight thousand, one hundred twelve".