201671682164 has 24 divisors (see below), whose sum is σ = 353636506440. Its totient is φ = 100632761856.

The previous prime is 201671682151. The next prime is 201671682167. The reversal of 201671682164 is 461286176102.

201671682164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 705964900 + 200965717264 = 26570^2 + 448292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201671682167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15877064 + ... + 15889760.

It is an arithmetic number, because the mean of its divisors is an integer number (14734854435).

Almost surely, 2^201671682164 is an apocalyptic number.

It is an amenable number.

201671682164 is a deficient number, since it is larger than the sum of its proper divisors (151964824276).

201671682164 is a wasteful number, since it uses less digits than its factorization.

201671682164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20387 (or 20385 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 201671682164 in words is "two hundred one billion, six hundred seventy-one million, six hundred eighty-two thousand, one hundred sixty-four".