212161057164 has 96 divisors (see below), whose sum is σ = 632389954560. Its totient is φ = 60254430336.

The previous prime is 212161057117. The next prime is 212161057183. The reversal of 212161057164 is 461750161212.

212161057164 is a `hidden beast` number, since 2 + 1 + 2 + 16 + 10 + 571 + 64 = 666.

212161057164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713977 + ... + 966480.

It is an arithmetic number, because the mean of its divisors is an integer number (6587395360).

Almost surely, 2^212161057164 is an apocalyptic number.

It is an amenable number.

212161057164 is an abundant number, since it is smaller than the sum of its proper divisors (420228897396).

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

212161057164 is a wasteful number, since it uses less digits than its factorization.

212161057164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680644 (or 1680636 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 212161057164 in words is "two hundred twelve billion, one hundred sixty-one million, fifty-seven thousand, one hundred sixty-four".