5348305249056 has 576 divisors, whose sum is σ = 19596351430656. Its totient is φ = 1342813593600.

The previous prime is 5348305249051. The next prime is 5348305249061. The reversal of 5348305249056 is 6509425038435.

It is a happy number.

5348305249056 is a `hidden beast` number, since 5 + 3 + 48 + 305 + 249 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5348305249051) and next prime (5348305249061).

It is a super-2 number, since 2×5348305249056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5348305248993 and 5348305249011.

It is not an unprimeable number, because it can be changed into a prime (5348305249051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671640531 + ... + 671648493.

It is an arithmetic number, because the mean of its divisors is an integer number (34021443456).

Almost surely, 2^{5348305249056} is an apocalyptic number.

5348305249056 is a gapful number since it is divisible by the number (56) 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 5348305249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798175715328).

5348305249056 is an abundant number, since it is smaller than the sum of its proper divisors (14248046181600).

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

5348305249056 is a wasteful number, since it uses less digits than its factorization.

5348305249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 5348305249056 in words is "five trillion, three hundred forty-eight billion, three hundred five million, two hundred forty-nine thousand, fifty-six".