162609666105216 has 64 divisors (see below), whose sum is σ = 471198464294400. Its totient is φ = 49275656394240.

The previous prime is 162609666105167. The next prime is 162609666105217. The reversal of 162609666105216 is 612501666906261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162609666105217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19248299056 + ... + 19248307503.

It is an arithmetic number, because the mean of its divisors is an integer number (7362476004600).

Almost surely, 2^{162609666105216} is an apocalyptic number.

162609666105216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

162609666105216 is an abundant number, since it is smaller than the sum of its proper divisors (308588798189184).

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

162609666105216 is a wasteful number, since it uses less digits than its factorization.

162609666105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38496606587 (or 38496606575 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 162609666105216 in words is "one hundred sixty-two trillion, six hundred nine billion, six hundred sixty-six million, one hundred five thousand, two hundred sixteen".