248166016 has 128 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 101391360.

The previous prime is 248165971. The next prime is 248166031. The reversal of 248166016 is 610661842.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×248166016³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2989911 + ... + 2989993.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^248166016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

248166016 is an abundant number, since it is smaller than the sum of its proper divisors (344054144).

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

248166016 is an equidigital number, since it uses as much as digits as its factorization.

248166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 248166016 is about 15753.2858794602. The cubic root of 248166016 is about 628.4162926078.

The spelling of 248166016 in words is "two hundred forty-eight million, one hundred sixty-six thousand, sixteen".