2112528167136 has 288 divisors, whose sum is σ = 6338442958848. Its totient is φ = 692009256960.

The previous prime is 2112528167063. The next prime is 2112528167147. The reversal of 2112528167136 is 6317618252112.

2112528167136 is a `hidden beast` number, since 2 + 1 + 12 + 528 + 16 + 71 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2112528167091 and 2112528167100.

It is a congruent number.

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, 123264360 + ... + 123281496.

It is an arithmetic number, because the mean of its divisors is an integer number (22008482496).

Almost surely, 2^{2112528167136} 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 2112528167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169221479424).

2112528167136 is an abundant number, since it is smaller than the sum of its proper divisors (4225914791712).

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

2112528167136 is a wasteful number, since it uses less digits than its factorization.

2112528167136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17436 (or 17416 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 2112528167136 in words is "two trillion, one hundred twelve billion, five hundred twenty-eight million, one hundred sixty-seven thousand, one hundred thirty-six".