165784164101607 has 16 divisors (see below), whose sum is σ = 223325013040640. Its totient is φ = 109383052154112.

The previous prime is 165784164101597. The next prime is 165784164101639. The reversal of 165784164101607 is 706101461487561.

It is a happy number.

It is not a de Polignac number, because 165784164101607 - 2¹¹ = 165784164099559 is a prime.

It is a super-2 number, since 2×165784164101607² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165784164101707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146034258 + ... + 147165120.

It is an arithmetic number, because the mean of its divisors is an integer number (13957813315040).

Almost surely, 2^{165784164101607} is an apocalyptic number.

165784164101607 is a deficient number, since it is larger than the sum of its proper divisors (57540848939033).

165784164101607 is a wasteful number, since it uses less digits than its factorization.

165784164101607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634742.

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 165784164101607 in words is "one hundred sixty-five trillion, seven hundred eighty-four billion, one hundred sixty-four million, one hundred one thousand, six hundred seven".