164048575488 has 528 divisors, whose sum is σ = 548858016000. Its totient is φ = 43290132480.

The previous prime is 164048575477. The next prime is 164048575489. The reversal of 164048575488 is 884575840461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164048575489) 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 47 ways as a sum of consecutive naturals, for example, 117260613 + ... + 117262011.

Almost surely, 2^164048575488 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 164048575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274429008000).

164048575488 is an abundant number, since it is smaller than the sum of its proper divisors (384809440512).

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

164048575488 is a wasteful number, since it uses less digits than its factorization.

164048575488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 60.

The spelling of 164048575488 in words is "one hundred sixty-four billion, forty-eight million, five hundred seventy-five thousand, four hundred eighty-eight".