165642084768 has 96 divisors (see below), whose sum is σ = 448924170240. Its totient is φ = 53443031040.

The previous prime is 165642084761. The next prime is 165642084781. The reversal of 165642084768 is 867480246561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×165642084768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165642084761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334188 + ... + 665556.

It is an arithmetic number, because the mean of its divisors is an integer number (4676293440).

Almost surely, 2^165642084768 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 165642084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224462085120).

165642084768 is an abundant number, since it is smaller than the sum of its proper divisors (283282085472).

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

165642084768 is a wasteful number, since it uses less digits than its factorization.

165642084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331550 (or 331542 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 165642084768 in words is "one hundred sixty-five billion, six hundred forty-two million, eighty-four thousand, seven hundred sixty-eight".