165113013062816 has 192 divisors, whose sum is σ = 401505091626240. Its totient is φ = 65087357829120.

The previous prime is 165113013062813. The next prime is 165113013062819. The reversal of 165113013062816 is 618260310311561.

It is an interprime number because it is at equal distance from previous prime (165113013062813) and next prime (165113013062819).

It is not an unprimeable number, because it can be changed into a prime (165113013062813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122464600 + ... + 1122611688.

It is an arithmetic number, because the mean of its divisors is an integer number (2091172352220).

Almost surely, 2^{165113013062816} is an apocalyptic number.

165113013062816 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 165113013062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200752545813120).

165113013062816 is an abundant number, since it is smaller than the sum of its proper divisors (236392078563424).

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

165113013062816 is a wasteful number, since it uses less digits than its factorization.

165113013062816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148487 (or 148479 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 165113013062816 in words is "one hundred sixty-five trillion, one hundred thirteen billion, thirteen million, sixty-two thousand, eight hundred sixteen".