5349419461568 has 224 divisors, whose sum is σ = 13214664960000. Its totient is φ = 2092136656896.

The previous prime is 5349419461567. The next prime is 5349419461597. The reversal of 5349419461568 is 8651649149435.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349419461567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181944533 + ... + 181973931.

It is an arithmetic number, because the mean of its divisors is an integer number (58994040000).

Almost surely, 2^{5349419461568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349419461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607332480000).

5349419461568 is an abundant number, since it is smaller than the sum of its proper divisors (7865245498432).

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

5349419461568 is a wasteful number, since it uses less digits than its factorization.

5349419461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29787 (or 29777 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 65.

The spelling of 5349419461568 in words is "five trillion, three hundred forty-nine billion, four hundred nineteen million, four hundred sixty-one thousand, five hundred sixty-eight".