165215444513616 has 180 divisors, whose sum is σ = 538136032566132. Its totient is φ = 47180483546112.

The previous prime is 165215444513531. The next prime is 165215444513653. The reversal of 165215444513616 is 616315444512561.

165215444513616 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 1 + 5 + 4 + 4 + 4 + 5 + 13 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35294292810000 + 129921151703616 = 5940900^2 + 11398296^2 .

It is a super-2 number, since 2×165215444513616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7987660 + ... + 19855316.

Almost surely, 2^{165215444513616} is an apocalyptic number.

165215444513616 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 165215444513616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269068016283066).

165215444513616 is an abundant number, since it is smaller than the sum of its proper divisors (372920588052516).

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

165215444513616 is a wasteful number, since it uses less digits than its factorization.

165215444513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869658 (or 11869642 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 165215444513616 in words is "one hundred sixty-five trillion, two hundred fifteen billion, four hundred forty-four million, five hundred thirteen thousand, six hundred sixteen".