165372722319104 has 288 divisors, whose sum is σ = 348001488172800. Its totient is φ = 78325371371520.

The previous prime is 165372722319083. The next prime is 165372722319109. The reversal of 165372722319104 is 401913227273561.

165372722319104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165372722319109) 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, 83817901862 + ... + 83817903834.

It is an arithmetic number, because the mean of its divisors is an integer number (1208338500600).

Almost surely, 2^{165372722319104} 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 165372722319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174000744086400).

165372722319104 is an abundant number, since it is smaller than the sum of its proper divisors (182628765853696).

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

165372722319104 is a wasteful number, since it uses less digits than its factorization.

165372722319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 165372722319104 in words is "one hundred sixty-five trillion, three hundred seventy-two billion, seven hundred twenty-two million, three hundred nineteen thousand, one hundred four".