165603410672112 has 360 divisors, whose sum is σ = 556651384174080. Its totient is φ = 45777952846080.

The previous prime is 165603410672071. The next prime is 165603410672177. The reversal of 165603410672112 is 211276014306561.

It is a happy number.

165603410672112 is a `hidden beast` number, since 1 + 6 + 5 + 60 + 3 + 410 + 67 + 2 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 931507743 + ... + 931685505.

It is an arithmetic number, because the mean of its divisors is an integer number (1546253844928).

Almost surely, 2^{165603410672112} is an apocalyptic number.

165603410672112 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 165603410672112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278325692087040).

165603410672112 is an abundant number, since it is smaller than the sum of its proper divisors (391047973501968).

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

165603410672112 is a wasteful number, since it uses less digits than its factorization.

165603410672112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182081 (or 182065 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 165603410672112 its reverse (211276014306561), we get a palindrome (376879424978673).

The spelling of 165603410672112 in words is "one hundred sixty-five trillion, six hundred three billion, four hundred ten million, six hundred seventy-two thousand, one hundred twelve".