212905465179168 has 192 divisors, whose sum is σ = 591719481400320. Its totient is φ = 66892609563648.

The previous prime is 212905465179161. The next prime is 212905465179289. The reversal of 212905465179168 is 861971564509212.

It is a junction number, because it is equal to n+sod(n) for n = 212905465179099 and 212905465179108.

It is not an unprimeable number, because it can be changed into a prime (212905465179161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69796455 + ... + 72782937.

It is an arithmetic number, because the mean of its divisors is an integer number (3081872298960).

Almost surely, 2^{212905465179168} 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 212905465179168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859740700160).

212905465179168 is an abundant number, since it is smaller than the sum of its proper divisors (378814016221152).

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

212905465179168 is a wasteful number, since it uses less digits than its factorization.

212905465179168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986991 (or 2986983 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 212905465179168 in words is "two hundred twelve trillion, nine hundred five billion, four hundred sixty-five million, one hundred seventy-nine thousand, one hundred sixty-eight".