165833701440 has 448 divisors, whose sum is σ = 598296748032. Its totient is φ = 38552371200.

The previous prime is 165833701403. The next prime is 165833701441. The reversal of 165833701440 is 44107338561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165833701392 and 165833701401.

It is not an unprimeable number, because it can be changed into a prime (165833701441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36989439 + ... + 36993921.

Almost surely, 2^165833701440 is an apocalyptic number.

165833701440 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 165833701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299148374016).

165833701440 is an abundant number, since it is smaller than the sum of its proper divisors (432463046592).

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

165833701440 is a wasteful number, since it uses less digits than its factorization.

165833701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 165833701440 in words is "one hundred sixty-five billion, eight hundred thirty-three million, seven hundred one thousand, four hundred forty".