165166848 has 432 divisors, whose sum is σ = 637728000. Its totient is φ = 40642560.

The previous prime is 165166843. The next prime is 165166873. The reversal of 165166848 is 848661561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165166843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692983 + ... + 8693001.

Almost surely, 2^165166848 is an apocalyptic number.

165166848 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 165166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864000).

165166848 is an abundant number, since it is smaller than the sum of its proper divisors (472561152).

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

165166848 is a wasteful number, since it uses less digits than its factorization.

165166848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 165166848 is about 12851.7254872643. The cubic root of 165166848 is about 548.6654675094.

The spelling of 165166848 in words is "one hundred sixty-five million, one hundred sixty-six thousand, eight hundred forty-eight".