165446112 has 96 divisors (see below), whose sum is σ = 478735488. Its totient is φ = 49706496.

The previous prime is 165446087. The next prime is 165446123. The reversal of 165446112 is 211644561.

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

It is a super-4 number, since 4×165446112⁴ (a number of 34 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 165446112.

It is a congruent number.

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, 52123 + ... + 55205.

It is an arithmetic number, because the mean of its divisors is an integer number (4986828).

Almost surely, 2^165446112 is an apocalyptic number.

165446112 is a gapful number since it is divisible by the number (12) 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 165446112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239367744).

165446112 is an abundant number, since it is smaller than the sum of its proper divisors (313289376).

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

165446112 is a wasteful number, since it uses less digits than its factorization.

165446112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3144 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 165446112 is about 12862.5857431544. The cubic root of 165446112 is about 548.9745211317.

The spelling of 165446112 in words is "one hundred sixty-five million, four hundred forty-six thousand, one hundred twelve".