164924080128 has 480 divisors, whose sum is σ = 509592384000. Its totient is φ = 52683079680.

The previous prime is 164924080073. The next prime is 164924080133. The reversal of 164924080128 is 821080429461.

It is a super-3 number, since 3×164924080128³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853079508 + ... + 1853079596.

It is an arithmetic number, because the mean of its divisors is an integer number (1061650800).

Almost surely, 2^164924080128 is an apocalyptic number.

164924080128 is a gapful number since it is divisible by the number (18) 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 164924080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254796192000).

164924080128 is an abundant number, since it is smaller than the sum of its proper divisors (344668303872).

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

164924080128 is an frugal number, since it uses more digits than its factorization.

164924080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 164924080128 in words is "one hundred sixty-four billion, nine hundred twenty-four million, eighty thousand, one hundred twenty-eight".