5338453348800 has 1344 divisors, whose sum is σ = 23031034252800. Its totient is φ = 1185833779200.

The previous prime is 5338453348793. The next prime is 5338453348807. The reversal of 5338453348800 is 88433548335.

It is a happy number.

5338453348800 is a `hidden beast` number, since 5 + 33 + 84 + 53 + 3 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5338453348793) and next prime (5338453348807).

It is a super-2 number, since 2×5338453348800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338453348807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 858683292 + ... + 858689508.

It is an arithmetic number, because the mean of its divisors is an integer number (17136186200).

Almost surely, 2^{5338453348800} is an apocalyptic number.

5338453348800 is a gapful number since it is divisible by the number (50) 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 5338453348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515517126400).

5338453348800 is an abundant number, since it is smaller than the sum of its proper divisors (17692580904000).

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

5338453348800 is a wasteful number, since it uses less digits than its factorization.

5338453348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5338453348800 in words is "five trillion, three hundred thirty-eight billion, four hundred fifty-three million, three hundred forty-eight thousand, eight hundred".