5097843061344 has 192 divisors, whose sum is σ = 16221897216000. Its totient is φ = 1544659269120.

The previous prime is 5097843061343. The next prime is 5097843061349. The reversal of 5097843061344 is 4431603487905.

5097843061344 is a `hidden beast` number, since 5 + 0 + 9 + 78 + 430 + 6 + 134 + 4 = 666.

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 (5097843061343) 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 31 ways as a sum of consecutive naturals, for example, 155079342 + ... + 155112210.

It is an arithmetic number, because the mean of its divisors is an integer number (84489048000).

Almost surely, 2^{5097843061344} is an apocalyptic number.

5097843061344 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 5097843061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110948608000).

5097843061344 is an abundant number, since it is smaller than the sum of its proper divisors (11124054154656).

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

5097843061344 is a wasteful number, since it uses less digits than its factorization.

5097843061344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49218 (or 49204 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

It can be divided in two parts, 509784 and 3061344, that added together give a triangular number (3571128 = T₂₆₇₂).

The spelling of 5097843061344 in words is "five trillion, ninety-seven billion, eight hundred forty-three million, sixty-one thousand, three hundred forty-four".