165390166305 has 480 divisors, whose sum is σ = 398525073408. Its totient is φ = 63825408000.

The previous prime is 165390166303. The next prime is 165390166313. The reversal of 165390166305 is 503661093561.

165390166305 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 9 + 0 + 1 + 6 + 630 + 5 = 666.

It is not a de Polignac number, because 165390166305 - 2¹ = 165390166303 is a prime.

It is a super-2 number, since 2×165390166305² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165390166303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 412444105 + ... + 412444505.

Almost surely, 2^165390166305 is an apocalyptic number.

165390166305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165390166305 is an abundant number, since it is smaller than the sum of its proper divisors (233134907103).

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

165390166305 is a wasteful number, since it uses less digits than its factorization.

165390166305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 165390166305 in words is "one hundred sixty-five billion, three hundred ninety million, one hundred sixty-six thousand, three hundred five".