212145371568 has 640 divisors, whose sum is σ = 738402739200. Its totient is φ = 57605603328.

The previous prime is 212145371563. The next prime is 212145371569. The reversal of 212145371568 is 865173541212.

212145371568 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 5 + 3 + 71 + 568 = 666.

212145371568 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212145371563) 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 127 ways as a sum of consecutive naturals, for example, 194094030 + ... + 194095122.

It is an arithmetic number, because the mean of its divisors is an integer number (1153754280).

Almost surely, 2^212145371568 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 212145371568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369201369600).

212145371568 is an abundant number, since it is smaller than the sum of its proper divisors (526257367632).

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

212145371568 is a wasteful number, since it uses less digits than its factorization.

212145371568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 212145371568 in words is "two hundred twelve billion, one hundred forty-five million, three hundred seventy-one thousand, five hundred sixty-eight".