165616061616 has 100 divisors (see below), whose sum is σ = 479717640600. Its totient is φ = 55161969408.

The previous prime is 165616061591. The next prime is 165616061627. The reversal of 165616061616 is 616160616561.

165616061616 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 16 + 0 + 616 + 16 = 666.

165616061616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165616061616³ (a number of 35 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1620975 + ... + 1720113.

It is an arithmetic number, because the mean of its divisors is an integer number (4797176406).

Almost surely, 2^165616061616 is an apocalyptic number.

165616061616 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 165616061616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239858820300).

165616061616 is an abundant number, since it is smaller than the sum of its proper divisors (314101578984).

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

165616061616 is a wasteful number, since it uses less digits than its factorization.

165616061616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100448 (or 100433 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 165616061616 in words is "one hundred sixty-five billion, six hundred sixteen million, sixty-one thousand, six hundred sixteen".