4823424736416 has 1152 divisors, whose sum is σ = 18267497644032. Its totient is φ = 1228732416000.

The previous prime is 4823424736343. The next prime is 4823424736457. The reversal of 4823424736416 is 6146374243284.

4823424736416 is a `hidden beast` number, since 4 + 8 + 2 + 34 + 247 + 364 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 586003021 + ... + 586011251.

It is an arithmetic number, because the mean of its divisors is an integer number (15857202816).

Almost surely, 2^{4823424736416} 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 4823424736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133748822016).

4823424736416 is an abundant number, since it is smaller than the sum of its proper divisors (13444072907616).

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

4823424736416 is a wasteful number, since it uses less digits than its factorization.

4823424736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8308 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 4823424736416 in words is "four trillion, eight hundred twenty-three billion, four hundred twenty-four million, seven hundred thirty-six thousand, four hundred sixteen".