165163392072 has 192 divisors, whose sum is σ = 515085742080. Its totient is φ = 46833572736.

The previous prime is 165163392061. The next prime is 165163392091. The reversal of 165163392072 is 270293361561.

165163392072 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 633 + 9 + 2 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105400233 + ... + 105401799.

It is an arithmetic number, because the mean of its divisors is an integer number (2682738240).

Almost surely, 2^165163392072 is an apocalyptic number.

165163392072 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 165163392072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257542871040).

165163392072 is an abundant number, since it is smaller than the sum of its proper divisors (349922350008).

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

165163392072 is a wasteful number, since it uses less digits than its factorization.

165163392072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 165163392072 in words is "one hundred sixty-five billion, one hundred sixty-three million, three hundred ninety-two thousand, seventy-two".