165293648000 has 256 divisors, whose sum is σ = 447596604000. Its totient is φ = 60338995200.

The previous prime is 165293647999. The next prime is 165293648017. The reversal of 165293648000 is 846392561.

It can be written as a sum of positive squares in 16 ways, for example, as 96452482624 + 68841165376 = 310568^2 + 262376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18507536 + ... + 18516464.

Almost surely, 2^165293648000 is an apocalyptic number.

165293648000 is a gapful number since it is divisible by the number (10) 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 165293648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223798302000).

165293648000 is an abundant number, since it is smaller than the sum of its proper divisors (282302956000).

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

165293648000 is an equidigital number, since it uses as much as digits as its factorization.

165293648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 165293648000 in words is "one hundred sixty-five billion, two hundred ninety-three million, six hundred forty-eight thousand".