212113575201168 has 160 divisors (see below), whose sum is σ = 610510548574080. Its totient is φ = 70511072002560.

The previous prime is 212113575201163. The next prime is 212113575201191. The reversal of 212113575201168 is 861102575311212.

212113575201168 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 3 + 5 + 7 + 520 + 116 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (212113575201163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5448149830 + ... + 5448188762.

It is an arithmetic number, because the mean of its divisors is an integer number (3815690928588).

Almost surely, 2^{212113575201168} 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 212113575201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305255274287040).

212113575201168 is an abundant number, since it is smaller than the sum of its proper divisors (398396973372912).

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

212113575201168 is a wasteful number, since it uses less digits than its factorization.

212113575201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73134 (or 73122 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 212113575201168 in words is "two hundred twelve trillion, one hundred thirteen billion, five hundred seventy-five million, two hundred one thousand, one hundred sixty-eight".