164289976928 has 288 divisors, whose sum is σ = 429502445568. Its totient is φ = 61106841600.

The previous prime is 164289976889. The next prime is 164289976931. The reversal of 164289976928 is 829679982461.

It is a Cunningham number, because it is equal to 405327²-1.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33234425 + ... + 33239367.

It is an arithmetic number, because the mean of its divisors is an integer number (1491327936).

Almost surely, 2^164289976928 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 164289976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214751222784).

164289976928 is an abundant number, since it is smaller than the sum of its proper divisors (265212468640).

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

164289976928 is a wasteful number, since it uses less digits than its factorization.

164289976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5051 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 71.

The spelling of 164289976928 in words is "one hundred sixty-four billion, two hundred eighty-nine million, nine hundred seventy-six thousand, nine hundred twenty-eight".