165075626526976 has 243 divisors, whose sum is σ = 372426849884523. Its totient is φ = 72969416847360.

The previous prime is 165075626526959. The next prime is 165075626526977. The reversal of 165075626526976 is 679625626570561.

The square root of 165075626526976 is 12848176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3781562501376 + 161294064025600 = 1944624^2 + 12700160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165075626526899 and 165075626526908.

It is not an unprimeable number, because it can be changed into a prime (165075626526977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83667321126 + ... + 83667323098.

Almost surely, 2^{165075626526976} is an apocalyptic number.

165075626526976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165075626526976 is the 12848176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165075626526976

165075626526976 is an abundant number, since it is smaller than the sum of its proper divisors (207351223357547).

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

165075626526976 is an frugal number, since it uses more digits than its factorization.

165075626526976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 73.

The spelling of 165075626526976 in words is "one hundred sixty-five trillion, seventy-five billion, six hundred twenty-six million, five hundred twenty-six thousand, nine hundred seventy-six".