165004638612480 has 528 divisors, whose sum is σ = 582700952040480. Its totient is φ = 43157931687936.

The previous prime is 165004638612467. The next prime is 165004638612511. The reversal of 165004638612480 is 84216836400561.

165004638612480 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 0 + 463 + 86 + 1 + 24 + 80 = 666.

It is a super-2 number, since 2×165004638612480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10084000779 + ... + 10084017141.

Almost surely, 2^{165004638612480} is an apocalyptic number.

165004638612480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165004638612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291350476020240).

165004638612480 is an abundant number, since it is smaller than the sum of its proper divisors (417696313428000).

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

165004638612480 is a wasteful number, since it uses less digits than its factorization.

165004638612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20576 (or 20555 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 165004638612480 in words is "one hundred sixty-five trillion, four billion, six hundred thirty-eight million, six hundred twelve thousand, four hundred eighty".