165111456 has 96 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 52669440.

The previous prime is 165111451. The next prime is 165111461. The reversal of 165111456 is 654111561.

165111456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165111451) and next prime (165111461).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (165111451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324130 + ... + 324638.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^165111456 is an apocalyptic number.

165111456 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 165111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

165111456 is an abundant number, since it is smaller than the sum of its proper divisors (287278944).

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

165111456 is a wasteful number, since it uses less digits than its factorization.

165111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 165111456 is about 12849.5702651879. The cubic root of 165111456 is about 548.6041253453.

The spelling of 165111456 in words is "one hundred sixty-five million, one hundred eleven thousand, four hundred fifty-six".