5117743456 has 72 divisors (see below), whose sum is σ = 11733951600. Its totient is φ = 2190811392.

The previous prime is 5117743453. The next prime is 5117743459. The reversal of 5117743456 is 6543477115.

It is an interprime number because it is at equal distance from previous prime (5117743453) and next prime (5117743459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117743453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192466 + ... + 2194798.

It is an arithmetic number, because the mean of its divisors is an integer number (162971550).

Almost surely, 2^5117743456 is an apocalyptic number.

5117743456 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 5117743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866975800).

5117743456 is an abundant number, since it is smaller than the sum of its proper divisors (6616208144).

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

5117743456 is a wasteful number, since it uses less digits than its factorization.

5117743456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3741 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 5117743456 is about 71538.4054616819. The cubic root of 5117743456 is about 1723.2945076992.

The spelling of 5117743456 in words is "five billion, one hundred seventeen million, seven hundred forty-three thousand, four hundred fifty-six".