5248219198464 has 1056 divisors, whose sum is σ = 17750068237440. Its totient is φ = 1529561088000.

The previous prime is 5248219198447. The next prime is 5248219198517. The reversal of 5248219198464 is 4648919128425.

It is a happy number.

5248219198464 is a `hidden beast` number, since 5 + 2 + 4 + 82 + 1 + 9 + 1 + 98 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×5248219198464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11384423194 + ... + 11384423654.

It is an arithmetic number, because the mean of its divisors is an integer number (16808776740).

Almost surely, 2^{5248219198464} is an apocalyptic number.

5248219198464 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 5248219198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875034118720).

5248219198464 is an abundant number, since it is smaller than the sum of its proper divisors (12501849038976).

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

5248219198464 is a wasteful number, since it uses less digits than its factorization.

5248219198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 601 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 5248219198464 in words is "five trillion, two hundred forty-eight billion, two hundred nineteen million, one hundred ninety-eight thousand, four hundred sixty-four".