165126340808424 has 320 divisors, whose sum is σ = 478412590550400. Its totient is φ = 53181313675776.

The previous prime is 165126340808399. The next prime is 165126340808449. The reversal of 165126340808424 is 424808043621561.

165126340808424 is a `hidden beast` number, since 1 + 6 + 5 + 126 + 340 + 80 + 84 + 24 = 666.

165126340808424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165126340808399) and next prime (165126340808449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9220290382 + ... + 9220308290.

It is an arithmetic number, because the mean of its divisors is an integer number (1495039345470).

Almost surely, 2^{165126340808424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165126340808424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239206295275200).

165126340808424 is an abundant number, since it is smaller than the sum of its proper divisors (313286249741976).

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

165126340808424 is a wasteful number, since it uses less digits than its factorization.

165126340808424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22054 (or 22041 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 165126340808424 in words is "one hundred sixty-five trillion, one hundred twenty-six billion, three hundred forty million, eight hundred eight thousand, four hundred twenty-four".