165440401321632 has 192 divisors, whose sum is σ = 448172191772928. Its totient is φ = 53403356160000.

The previous prime is 165440401321619. The next prime is 165440401321691. The reversal of 165440401321632 is 236123104044561.

It is a super-2 number, since 2×165440401321632² (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758858082 + ... + 759076062.

It is an arithmetic number, because the mean of its divisors is an integer number (2334230165484).

Almost surely, 2^{165440401321632} is an apocalyptic number.

165440401321632 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 165440401321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224086095886464).

165440401321632 is an abundant number, since it is smaller than the sum of its proper divisors (282731790451296).

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

165440401321632 is a wasteful number, since it uses less digits than its factorization.

165440401321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219463 (or 219455 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 165440401321632 in words is "one hundred sixty-five trillion, four hundred forty billion, four hundred one million, three hundred twenty-one thousand, six hundred thirty-two".