165480629884416 has 960 divisors, whose sum is σ = 616594410432000. Its totient is φ = 41457578803200.

The previous prime is 165480629884393. The next prime is 165480629884417. The reversal of 165480629884416 is 614488926084561.

165480629884416 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 80 + 6 + 29 + 88 + 441 + 6 = 666.

It is a super-2 number, since 2×165480629884416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165480629884417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10793849871 + ... + 10793865201.

It is an arithmetic number, because the mean of its divisors is an integer number (642285844200).

Almost surely, 2^{165480629884416} is an apocalyptic number.

165480629884416 is a gapful number since it is divisible by the number (16) 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 165480629884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308297205216000).

165480629884416 is an abundant number, since it is smaller than the sum of its proper divisors (451113780547584).

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

165480629884416 is a wasteful number, since it uses less digits than its factorization.

165480629884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 165480629884416 in words is "one hundred sixty-five trillion, four hundred eighty billion, six hundred twenty-nine million, eight hundred eighty-four thousand, four hundred sixteen".