248238624384 has 48 divisors (see below), whose sum is σ = 714332503170. Its totient is φ = 82746207744.

The previous prime is 248238624367. The next prime is 248238624397. The reversal of 248238624384 is 483426832842.

248238624384 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 3 + 8 + 624 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248123534400 + 115089984 = 498120^2 + 10728^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 248238624384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107741307 + ... + 107743610.

Almost surely, 2^248238624384 is an apocalyptic number.

248238624384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248238624384 is an abundant number, since it is smaller than the sum of its proper divisors (466093878786).

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

248238624384 is a wasteful number, since it uses less digits than its factorization.

248238624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215484937 (or 215484922 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 248238624384 in words is "two hundred forty-eight billion, two hundred thirty-eight million, six hundred twenty-four thousand, three hundred eighty-four".