164299679712 has 432 divisors, whose sum is σ = 563919436080. Its totient is φ = 45210783744.

The previous prime is 164299679711. The next prime is 164299679723. The reversal of 164299679712 is 217976992461.

164299679712 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164299679712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164299679711) 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, 44295714 + ... + 44299422.

It is an arithmetic number, because the mean of its divisors is an integer number (1305369065).

Almost surely, 2^164299679712 is an apocalyptic number.

164299679712 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 164299679712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281959718040).

164299679712 is an abundant number, since it is smaller than the sum of its proper divisors (399619756368).

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

164299679712 is a wasteful number, since it uses less digits than its factorization.

164299679712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3837 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 164299679712 in words is "one hundred sixty-four billion, two hundred ninety-nine million, six hundred seventy-nine thousand, seven hundred twelve".