5109516846 has 144 divisors (see below), whose sum is σ = 13175809920. Its totient is φ = 1426511520.

The previous prime is 5109516829. The next prime is 5109516857. The reversal of 5109516846 is 6486159015.

5109516846 is a `hidden beast` number, since 51 + 0 + 9 + 516 + 84 + 6 = 666.

It is a super-2 number, since 2×5109516846² = 52214324799115575432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8704165 + ... + 8704751.

It is an arithmetic number, because the mean of its divisors is an integer number (91498680).

Almost surely, 2^5109516846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109516846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960).

5109516846 is an abundant number, since it is smaller than the sum of its proper divisors (8066293074).

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

5109516846 is a wasteful number, since it uses less digits than its factorization.

5109516846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5109516846 is about 71480.8844796985. The cubic root of 5109516846 is about 1722.3706320997.

The spelling of 5109516846 in words is "five billion, one hundred nine million, five hundred sixteen thousand, eight hundred forty-six".