248211648 has 84 divisors (see below), whose sum is σ = 731626680. Its totient is φ = 82518912.

The previous prime is 248211647. The next prime is 248211661. The reversal of 248211648 is 846112842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248211648 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 1 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24576) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (248211647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 654723 + ... + 655101.

Almost surely, 2^248211648 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 248211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365813340).

248211648 is an abundant number, since it is smaller than the sum of its proper divisors (483415032).

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

248211648 is an frugal number, since it uses more digits than its factorization.

248211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 384 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 248211648 is about 15754.7341456465. The cubic root of 248211648 is about 628.4548073291.

The spelling of 248211648 in words is "two hundred forty-eight million, two hundred eleven thousand, six hundred forty-eight".