164220213248 has 288 divisors, whose sum is σ = 429447564000. Its totient is φ = 61124640768.

The previous prime is 164220213247. The next prime is 164220213263. The reversal of 164220213248 is 842312022461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164220213247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53858828 + ... + 53861876.

It is an arithmetic number, because the mean of its divisors is an integer number (1491137375).

Almost surely, 2^164220213248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164220213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214723782000).

164220213248 is an abundant number, since it is smaller than the sum of its proper divisors (265227350752).

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

164220213248 is a wasteful number, since it uses less digits than its factorization.

164220213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 164220213248 in words is "one hundred sixty-four billion, two hundred twenty million, two hundred thirteen thousand, two hundred forty-eight".