5114074656768 has 1248 divisors, whose sum is σ = 17830929973248. Its totient is φ = 1275293859840.

The previous prime is 5114074656767. The next prime is 5114074656781. The reversal of 5114074656768 is 8676564704115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114074656767) 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, 40268304321 + ... + 40268304447.

Almost surely, 2^{5114074656768} 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 5114074656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915464986624).

5114074656768 is an abundant number, since it is smaller than the sum of its proper divisors (12716855316480).

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

5114074656768 is a wasteful number, since it uses less digits than its factorization.

5114074656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 5114074656768 in words is "five trillion, one hundred fourteen billion, seventy-four million, six hundred fifty-six thousand, seven hundred sixty-eight".