5348286624384 has 768 divisors, whose sum is σ = 18424863676800. Its totient is φ = 1520883302400.

The previous prime is 5348286624361. The next prime is 5348286624391. The reversal of 5348286624384 is 4834266828435.

5348286624384 is a `hidden beast` number, since 5 + 34 + 8 + 286 + 6 + 243 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2992884739 + ... + 2992886525.

Almost surely, 2^{5348286624384} is an apocalyptic number.

5348286624384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348286624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212431838400).

5348286624384 is an abundant number, since it is smaller than the sum of its proper divisors (13076577052416).

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

5348286624384 is a wasteful number, since it uses less digits than its factorization.

5348286624384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2241 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 5348286624384 in words is "five trillion, three hundred forty-eight billion, two hundred eighty-six million, six hundred twenty-four thousand, three hundred eighty-four".