165338496 has 160 divisors (see below), whose sum is σ = 506515680. Its totient is φ = 53498880.

The previous prime is 165338489. The next prime is 165338497. The reversal of 165338496 is 694833561.

165338496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165338497) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383401 + ... + 383831.

It is an arithmetic number, because the mean of its divisors is an integer number (3165723).

Almost surely, 2^165338496 is an apocalyptic number.

165338496 is a gapful number since it is divisible by the number (16) 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 165338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253257840).

165338496 is an abundant number, since it is smaller than the sum of its proper divisors (341177184).

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

165338496 is an equidigital number, since it uses as much as digits as its factorization.

165338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 165338496 is about 12858.4017669382. The cubic root of 165338496 is about 548.8554667452.

The spelling of 165338496 in words is "one hundred sixty-five million, three hundred thirty-eight thousand, four hundred ninety-six".