164588448320 has 112 divisors (see below), whose sum is σ = 397698163200. Its totient is φ = 64869242880.

The previous prime is 164588448301. The next prime is 164588448331. The reversal of 164588448320 is 23844885461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12861125 + ... + 12873915.

Almost surely, 2^164588448320 is an apocalyptic number.

164588448320 is a gapful number since it is divisible by the number (10) 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 164588448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198849081600).

164588448320 is an abundant number, since it is smaller than the sum of its proper divisors (233109714880).

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

164588448320 is a wasteful number, since it uses less digits than its factorization.

164588448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 164588448320 in words is "one hundred sixty-four billion, five hundred eighty-eight million, four hundred forty-eight thousand, three hundred twenty".