5134416412314 has 128 divisors (see below), whose sum is σ = 12561282220032. Its totient is φ = 1365684756480.

The previous prime is 5134416412309. The next prime is 5134416412387. The reversal of 5134416412314 is 4132146144315.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 129561907 + ... + 129601529.

It is an arithmetic number, because the mean of its divisors is an integer number (98135017344).

Almost surely, 2^{5134416412314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134416412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280641110016).

5134416412314 is an abundant number, since it is smaller than the sum of its proper divisors (7426865807718).

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

5134416412314 is a wasteful number, since it uses less digits than its factorization.

5134416412314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41620.

The product of its digits is 138240, while the sum is 39.

The spelling of 5134416412314 in words is "five trillion, one hundred thirty-four billion, four hundred sixteen million, four hundred twelve thousand, three hundred fourteen".