248381634576384 has 153 divisors (see below), whose sum is σ = 717576437790849. Its totient is φ = 82789843599360.

The previous prime is 248381634576373. The next prime is 248381634576461. The reversal of 248381634576384 is 483675436183842.

The square root of 248381634576384 is 15760128.

It is a perfect power (a square), and thus also a powerful number.

248381634576384 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 8 + 16 + 3 + 4 + 576 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160015618473984 + 88366016102400 = 12649728^2 + 9400320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12103768044 + ... + 12103788564.

Almost surely, 2^{248381634576384} is an apocalyptic number.

248381634576384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

248381634576384 is the 15760128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248381634576384

248381634576384 is an abundant number, since it is smaller than the sum of its proper divisors (469194803214465).

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

248381634576384 is an frugal number, since it uses more digits than its factorization.

248381634576384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41080 (or 20526 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 72.

The spelling of 248381634576384 in words is "two hundred forty-eight trillion, three hundred eighty-one billion, six hundred thirty-four million, five hundred seventy-six thousand, three hundred eighty-four".