165702056001216 has 112 divisors (see below), whose sum is σ = 504242866235136. Its totient is φ = 47041893909504.

The previous prime is 165702056001203. The next prime is 165702056001241. The reversal of 165702056001216 is 612100650207561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392433006 + ... + 392855021.

It is an arithmetic number, because the mean of its divisors is an integer number (4502168448528).

Almost surely, 2^{165702056001216} is an apocalyptic number.

165702056001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165702056001216 is an abundant number, since it is smaller than the sum of its proper divisors (338540810233920).

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

165702056001216 is a wasteful number, since it uses less digits than its factorization.

165702056001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785288206 (or 785288196 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 165702056001216 in words is "one hundred sixty-five trillion, seven hundred two billion, fifty-six million, one thousand, two hundred sixteen".