165515106768 has 160 divisors (see below), whose sum is σ = 481163429760. Its totient is φ = 48586106880.

The previous prime is 165515106761. The next prime is 165515106769. The reversal of 165515106768 is 867601515561.

165515106768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165515106768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165515106761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4455246 + ... + 4492242.

It is an arithmetic number, because the mean of its divisors is an integer number (3007271436).

Almost surely, 2^165515106768 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 165515106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240581714880).

165515106768 is an abundant number, since it is smaller than the sum of its proper divisors (315648322992).

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

165515106768 is a wasteful number, since it uses less digits than its factorization.

165515106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37285 (or 37279 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 165515106768 in words is "one hundred sixty-five billion, five hundred fifteen million, one hundred six thousand, seven hundred sixty-eight".