164158848 has 96 divisors (see below), whose sum is σ = 539894160. Its totient is φ = 46900224.

The previous prime is 164158831. The next prime is 164158859. The reversal of 164158848 is 848851461.

164158848 is a `hidden beast` number, since 1 + 64 + 1 + 588 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2115 + ... + 18242.

Almost surely, 2^164158848 is an apocalyptic number.

164158848 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 164158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269947080).

164158848 is an abundant number, since it is smaller than the sum of its proper divisors (375735312).

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

164158848 is a wasteful number, since it uses less digits than its factorization.

164158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20369 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 164158848 is about 12812.4489462397. The cubic root of 164158848 is about 547.5470354287.

The spelling of 164158848 in words is "one hundred sixty-four million, one hundred fifty-eight thousand, eight hundred forty-eight".