162001730352 has 320 divisors, whose sum is σ = 533396717568. Its totient is φ = 41150592000.

The previous prime is 162001730309. The next prime is 162001730381. The reversal of 162001730352 is 253037100261.

It is an unprimeable number.

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, 33324402 + ... + 33329262.

Almost surely, 2^162001730352 is an apocalyptic number.

162001730352 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 162001730352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266698358784).

162001730352 is an abundant number, since it is smaller than the sum of its proper divisors (371394987216).

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

162001730352 is a wasteful number, since it uses less digits than its factorization.

162001730352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 162001730352 in words is "one hundred sixty-two billion, one million, seven hundred thirty thousand, three hundred fifty-two".