165556067424 has 576 divisors, whose sum is σ = 526672710144. Its totient is φ = 45044736000.

The previous prime is 165556067377. The next prime is 165556067527. The reversal of 165556067424 is 424760655561.

It is a super-2 number, since 2×165556067424² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956971402 + ... + 956971574.

It is an arithmetic number, because the mean of its divisors is an integer number (914362344).

Almost surely, 2^165556067424 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 165556067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263336355072).

165556067424 is an abundant number, since it is smaller than the sum of its proper divisors (361116642720).

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

165556067424 is a wasteful number, since it uses less digits than its factorization.

165556067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 165556067424 in words is "one hundred sixty-five billion, five hundred fifty-six million, sixty-seven thousand, four hundred twenty-four".