165928234840704 has 768 divisors, whose sum is σ = 582418916352000. Its totient is φ = 44290022400000.

The previous prime is 165928234840691. The next prime is 165928234840721. The reversal of 165928234840704 is 407048432829561.

165928234840704 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 2 + 82 + 3 + 484 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3884157457 + ... + 3884200175.

It is an arithmetic number, because the mean of its divisors is an integer number (758357964000).

It is a 1-persistent number, because it is pandigital, but 2⋅165928234840704 = 331856469681408 is not.

Almost surely, 2^{165928234840704} is an apocalyptic number.

165928234840704 is a gapful number since it is divisible by the number (14) 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 165928234840704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291209458176000).

165928234840704 is an abundant number, since it is smaller than the sum of its proper divisors (416490681511296).

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

165928234840704 is a wasteful number, since it uses less digits than its factorization.

165928234840704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43117 (or 43102 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 165928234840704 in words is "one hundred sixty-five trillion, nine hundred twenty-eight billion, two hundred thirty-four million, eight hundred forty thousand, seven hundred four".