164201561112 has 128 divisors (see below), whose sum is σ = 427337164800. Its totient is φ = 52520832000.

The previous prime is 164201561101. The next prime is 164201561149. The reversal of 164201561112 is 211165102461.

164201561112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164201561112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70200439 + ... + 70202777.

It is an arithmetic number, because the mean of its divisors is an integer number (3338571600).

Almost surely, 2^164201561112 is an apocalyptic number.

164201561112 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 164201561112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213668582400).

164201561112 is an abundant number, since it is smaller than the sum of its proper divisors (263135603688).

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

164201561112 is a wasteful number, since it uses less digits than its factorization.

164201561112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 164201561112 its reverse (211165102461), we get a palindrome (375366663573).

The spelling of 164201561112 in words is "one hundred sixty-four billion, two hundred one million, five hundred sixty-one thousand, one hundred twelve".