164312065212012 has 72 divisors (see below), whose sum is σ = 429211515292560. Its totient is φ = 52967278627200.

The previous prime is 164312065211999. The next prime is 164312065212013. The reversal of 164312065212012 is 210212560213461.

164312065212012 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 120 + 6 + 521 + 2 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164312065212013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525312687 + ... + 525625382.

It is an arithmetic number, because the mean of its divisors is an integer number (5961271045730).

Almost surely, 2^{164312065212012} is an apocalyptic number.

164312065212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164312065212012 is an abundant number, since it is smaller than the sum of its proper divisors (264899450080548).

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

164312065212012 is a wasteful number, since it uses less digits than its factorization.

164312065212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050938223 (or 1050938218 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 164312065212012 in words is "one hundred sixty-four trillion, three hundred twelve billion, sixty-five million, two hundred twelve thousand, twelve".