5134383464616 has 384 divisors, whose sum is σ = 16810691788800. Its totient is φ = 1382953927680.

The previous prime is 5134383464611. The next prime is 5134383464621. The reversal of 5134383464616 is 6164643834315.

5134383464616 is a `hidden beast` number, since 5 + 1 + 3 + 43 + 83 + 464 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5134383464611) and next prime (5134383464621).

It is not an unprimeable number, because it can be changed into a prime (5134383464611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1910822425 + ... + 1910825111.

It is an arithmetic number, because the mean of its divisors is an integer number (43777843200).

Almost surely, 2^{5134383464616} is an apocalyptic number.

5134383464616 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 5134383464616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405345894400).

5134383464616 is an abundant number, since it is smaller than the sum of its proper divisors (11676308324184).

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

5134383464616 is a wasteful number, since it uses less digits than its factorization.

5134383464616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3622 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 5134383464616 in words is "five trillion, one hundred thirty-four billion, three hundred eighty-three million, four hundred sixty-four thousand, six hundred sixteen".