165814137216 has 1152 divisors, whose sum is σ = 636920444160. Its totient is φ = 40967700480.

The previous prime is 165814137197. The next prime is 165814137217. The reversal of 165814137216 is 612731418561.

165814137216 is a `hidden beast` number, since 1 + 6 + 581 + 41 + 3 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165814137217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 841696030 + ... + 841696226.

It is an arithmetic number, because the mean of its divisors is an integer number (552882330).

Almost surely, 2^165814137216 is an apocalyptic number.

165814137216 is a gapful number since it is divisible by the number (16) 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 165814137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318460222080).

165814137216 is an abundant number, since it is smaller than the sum of its proper divisors (471106306944).

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

165814137216 is a wasteful number, since it uses less digits than its factorization.

165814137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 165814137216 in words is "one hundred sixty-five billion, eight hundred fourteen million, one hundred thirty-seven thousand, two hundred sixteen".