165816159846912 has 240 divisors, whose sum is σ = 490970795154840. Its totient is φ = 53842334515200.

The previous prime is 165816159846901. The next prime is 165816159846941. The reversal of 165816159846912 is 219648951618561.

165816159846912 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 1 + 6 + 159 + 8 + 469 + 1 + 2 = 666.

165816159846912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150562323507456 + 15253836339456 = 12270384^2 + 3905616^2 .

It is a super-3 number, since 3×165816159846912³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124217514 + ... + 125545302.

Almost surely, 2^{165816159846912} is an apocalyptic number.

165816159846912 is a gapful number since it is divisible by the number (12) 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 165816159846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245485397577420).

165816159846912 is an abundant number, since it is smaller than the sum of its proper divisors (325154635307928).

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

165816159846912 is a wasteful number, since it uses less digits than its factorization.

165816159846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328515 (or 1328496 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 72.

The spelling of 165816159846912 in words is "one hundred sixty-five trillion, eight hundred sixteen billion, one hundred fifty-nine million, eight hundred forty-six thousand, nine hundred twelve".