165438165312 has 336 divisors, whose sum is σ = 571623870720. Its totient is φ = 46778425344.

The previous prime is 165438165197. The next prime is 165438165391. The reversal of 165438165312 is 213561834561.

165438165312 is a `hidden beast` number, since 1 + 65 + 43 + 8 + 16 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 8203113 + ... + 8223255.

It is an arithmetic number, because the mean of its divisors is an integer number (1701261520).

Almost surely, 2^165438165312 is an apocalyptic number.

165438165312 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 165438165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285811935360).

165438165312 is an abundant number, since it is smaller than the sum of its proper divisors (406185705408).

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

165438165312 is a wasteful number, since it uses less digits than its factorization.

165438165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20275 (or 20252 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

Adding to 165438165312 its reverse (213561834561), we get a palindrome (378999999873).

The spelling of 165438165312 in words is "one hundred sixty-five billion, four hundred thirty-eight million, one hundred sixty-five thousand, three hundred twelve".