248161384224 has 72 divisors (see below), whose sum is σ = 759994250652. Its totient is φ = 76357347840.

The previous prime is 248161384213. The next prime is 248161384267. The reversal of 248161384224 is 422483161842.

248161384224 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 613 + 8 + 4 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201841735824 + 46319648400 = 449268^2 + 215220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 248161384224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33137467 + ... + 33144954.

Almost surely, 2^248161384224 is an apocalyptic number.

248161384224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248161384224 is an abundant number, since it is smaller than the sum of its proper divisors (511832866428).

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

248161384224 is a wasteful number, since it uses less digits than its factorization.

248161384224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66282450 (or 66282439 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 248161384224 in words is "two hundred forty-eight billion, one hundred sixty-one million, three hundred eighty-four thousand, two hundred twenty-four".