5109614496 has 288 divisors, whose sum is σ = 17435658240. Its totient is φ = 1387786752.

The previous prime is 5109614467. The next prime is 5109614527. The reversal of 5109614496 is 6944169015.

It is a happy number.

5109614496 is a `hidden beast` number, since 510 + 9 + 6 + 1 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5109614496² = 52216320595466668032, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12194575 + ... + 12194993.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 2^5109614496 is an apocalyptic number.

5109614496 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 5109614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

5109614496 is an abundant number, since it is smaller than the sum of its proper divisors (12326043744).

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

5109614496 is a wasteful number, since it uses less digits than its factorization.

5109614496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5109614496 is about 71481.5675261812. The cubic root of 5109614496 is about 1722.3816043322.

The spelling of 5109614496 in words is "five billion, one hundred nine million, six hundred fourteen thousand, four hundred ninety-six".