2112544551168 has 432 divisors, whose sum is σ = 6511383994752. Its totient is φ = 682795008000.

The previous prime is 2112544551151. The next prime is 2112544551199. The reversal of 2112544551168 is 8611554452112.

It is a happy number.

2112544551168 is a `hidden beast` number, since 2 + 1 + 125 + 4 + 4 + 5 + 511 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269418928 + ... + 269426768.

It is an arithmetic number, because the mean of its divisors is an integer number (15072648136).

Almost surely, 2^{2112544551168} 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 2112544551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255691997376).

2112544551168 is an abundant number, since it is smaller than the sum of its proper divisors (4398839443584).

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

2112544551168 is an frugal number, since it uses more digits than its factorization.

2112544551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7978 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The spelling of 2112544551168 in words is "two trillion, one hundred twelve billion, five hundred forty-four million, five hundred fifty-one thousand, one hundred sixty-eight".