165000977316 has 192 divisors, whose sum is σ = 525127680000. Its totient is φ = 44661728160.

The previous prime is 165000977303. The next prime is 165000977327. The reversal of 165000977316 is 613779000561.

165000977316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586621 + ... + 821051.

It is an arithmetic number, because the mean of its divisors is an integer number (2735040000).

Almost surely, 2^165000977316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165000977316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262563840000).

165000977316 is an abundant number, since it is smaller than the sum of its proper divisors (360126702684).

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

165000977316 is a wasteful number, since it uses less digits than its factorization.

165000977316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234484 (or 234462 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

Adding to 165000977316 its reverse (613779000561), we get a palindrome (778779977877).

It can be divided in two parts, 165000 and 977316, that added together give a triangular number (1142316 = T₁₅₁₁).

The spelling of 165000977316 in words is "one hundred sixty-five billion, nine hundred seventy-seven thousand, three hundred sixteen".