164442948 has 96 divisors (see below), whose sum is σ = 421088640. Its totient is φ = 49766400.

The previous prime is 164442947. The next prime is 164442973. The reversal of 164442948 is 849244461.

164442948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164442947) 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 31 ways as a sum of consecutive naturals, for example, 851940 + ... + 852132.

It is an arithmetic number, because the mean of its divisors is an integer number (4386340).

Almost surely, 2^164442948 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 164442948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210544320).

164442948 is an abundant number, since it is smaller than the sum of its proper divisors (256645692).

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

164442948 is a wasteful number, since it uses less digits than its factorization.

164442948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 164442948 is about 12823.5310269832. The cubic root of 164442948 is about 547.8627224648.

The spelling of 164442948 in words is "one hundred sixty-four million, four hundred forty-two thousand, nine hundred forty-eight".