164309363712 has 792 divisors, whose sum is σ = 562094573040. Its totient is φ = 45891256320.

The previous prime is 164309363711. The next prime is 164309363753. The reversal of 164309363712 is 217363903461.

164309363712 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 9 + 3 + 637 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164309363711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1254269887 + ... + 1254270017.

It is an arithmetic number, because the mean of its divisors is an integer number (709715370).

Almost surely, 2^164309363712 is an apocalyptic number.

164309363712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164309363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281047286520).

164309363712 is an abundant number, since it is smaller than the sum of its proper divisors (397785209328).

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

164309363712 is a wasteful number, since it uses less digits than its factorization.

164309363712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 164309363712 in words is "one hundred sixty-four billion, three hundred nine million, three hundred sixty-three thousand, seven hundred twelve".