165865430016 has 528 divisors, whose sum is σ = 567665000448. Its totient is φ = 45984153600.

The previous prime is 165865429993. The next prime is 165865430021. The reversal of 165865430016 is 610034568561.

165865430016 is a `hidden beast` number, since 1 + 6 + 586 + 54 + 3 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×165865430016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167371281 + ... + 167372271.

Almost surely, 2^165865430016 is an apocalyptic number.

165865430016 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 165865430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283832500224).

165865430016 is an abundant number, since it is smaller than the sum of its proper divisors (401799570432).

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

165865430016 is a wasteful number, since it uses less digits than its factorization.

165865430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 165865430016 its reverse (610034568561), we get a palindrome (775899998577).

The spelling of 165865430016 in words is "one hundred sixty-five billion, eight hundred sixty-five million, four hundred thirty thousand, sixteen".