2008013522112 has 336 divisors, whose sum is σ = 6476398568640. Its totient is φ = 590205394944.

The previous prime is 2008013522093. The next prime is 2008013522131. The reversal of 2008013522112 is 2112253108002.

2008013522112 is a `hidden beast` number, since 20 + 0 + 8 + 0 + 1 + 3 + 522 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (2008013522093) and next prime (2008013522131).

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, 137255214 + ... + 137269842.

It is an arithmetic number, because the mean of its divisors is an integer number (19274995740).

Almost surely, 2^{2008013522112} 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 2008013522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238199284320).

2008013522112 is an abundant number, since it is smaller than the sum of its proper divisors (4468385046528).

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

2008013522112 is a wasteful number, since it uses less digits than its factorization.

2008013522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 2008013 and 522112, that added together give a triangular number (2530125 = T₂₂₄₉).

The spelling of 2008013522112 in words is "two trillion, eight billion, thirteen million, five hundred twenty-two thousand, one hundred twelve".