165673135465884 has 192 divisors, whose sum is σ = 432406808064000. Its totient is φ = 54854898693120.

The previous prime is 165673135465847. The next prime is 165673135465891. The reversal of 165673135465884 is 488564531376561.

165673135465884 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 7 + 3 + 1 + 35 + 4 + 6 + 588 + 4 = 666.

165673135465884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42274337277 + ... + 42274341195.

It is an arithmetic number, because the mean of its divisors is an integer number (2252118792000).

Almost surely, 2^{165673135465884} 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 165673135465884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216203404032000).

165673135465884 is an abundant number, since it is smaller than the sum of its proper divisors (266733672598116).

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

165673135465884 is a wasteful number, since it uses less digits than its factorization.

165673135465884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7897 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 165673135465884 in words is "one hundred sixty-five trillion, six hundred seventy-three billion, one hundred thirty-five million, four hundred sixty-five thousand, eight hundred eighty-four".