5114824416 has 288 divisors, whose sum is σ = 16343728128. Its totient is φ = 1506677760.

The previous prime is 5114824409. The next prime is 5114824471. The reversal of 5114824416 is 6144284115.

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

It is a super-3 number, since 3×5114824416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14739955 + ... + 14740301.

It is an arithmetic number, because the mean of its divisors is an integer number (56749056).

Almost surely, 2^5114824416 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 5114824416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171864064).

5114824416 is an abundant number, since it is smaller than the sum of its proper divisors (11228903712).

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

5114824416 is a wasteful number, since it uses less digits than its factorization.

5114824416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5114824416 is about 71518.0006431947. Note that the first 3 decimals coincide. The cubic root of 5114824416 is about 1722.9668032238.

The spelling of 5114824416 in words is "five billion, one hundred fourteen million, eight hundred twenty-four thousand, four hundred sixteen".