165915205385472 has 216 divisors, whose sum is σ = 483953859043200. Its totient is φ = 54660554809344.

The previous prime is 165915205385453. The next prime is 165915205385533. The reversal of 165915205385472 is 274583502519561.

It is a happy number.

165915205385472 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 1 + 5 + 20 + 538 + 5 + 4 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488478679 + ... + 488818217.

It is an arithmetic number, because the mean of its divisors is an integer number (2240527125200).

It is a 1-persistent number, because it is pandigital, but 2⋅165915205385472 = 331830410770944 is not.

Almost surely, 2^{165915205385472} is an apocalyptic number.

165915205385472 is a gapful number since it is divisible by the number (12) 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 165915205385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241976929521600).

165915205385472 is an abundant number, since it is smaller than the sum of its proper divisors (318038653657728).

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

165915205385472 is a wasteful number, since it uses less digits than its factorization.

165915205385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342033 (or 342016 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 165915205385472 in words is "one hundred sixty-five trillion, nine hundred fifteen billion, two hundred five million, three hundred eighty-five thousand, four hundred seventy-two".