165482016 has 144 divisors (see below), whose sum is σ = 511128576. Its totient is φ = 46738944.

The previous prime is 165482003. The next prime is 165482047. The reversal of 165482016 is 610284561.

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, 597270 + ... + 597546.

It is an arithmetic number, because the mean of its divisors is an integer number (3549504).

Almost surely, 2^165482016 is an apocalyptic number.

165482016 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 165482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255564288).

165482016 is an abundant number, since it is smaller than the sum of its proper divisors (345646560).

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

165482016 is a wasteful number, since it uses less digits than its factorization.

165482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 165482016 is about 12863.9813432701. The cubic root of 165482016 is about 549.0142298427.

The spelling of 165482016 in words is "one hundred sixty-five million, four hundred eighty-two thousand, sixteen".