164324512100000 has 288 divisors, whose sum is σ = 462193542720000. Its totient is φ = 56332465920000.

The previous prime is 164324512099997. The next prime is 164324512100011. The reversal of 164324512100000 is 1215423461.

164324512100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10112891876 + ... + 10112908124.

It is an arithmetic number, because the mean of its divisors is an integer number (1604838690000).

Almost surely, 2^{164324512100000} is an apocalyptic number.

164324512100000 is a gapful number since it is divisible by the number (10) 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 164324512100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231096771360000).

164324512100000 is an abundant number, since it is smaller than the sum of its proper divisors (297869030620000).

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

164324512100000 is an equidigital number, since it uses as much as digits as its factorization.

164324512100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30738 (or 30710 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 164324512100000 its reverse (1215423461), we get a palindrome (164325727523461).

The spelling of 164324512100000 in words is "one hundred sixty-four trillion, three hundred twenty-four billion, five hundred twelve million, one hundred thousand".