4586416128 has 576 divisors, whose sum is σ = 16896297600. Its totient is φ = 1203240960.

The previous prime is 4586416103. The next prime is 4586416129. The reversal of 4586416128 is 8216146854.

It is a happy number.

4586416128 is a `hidden beast` number, since 4 + 586 + 4 + 1 + 61 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4586416129) 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 47 ways as a sum of consecutive naturals, for example, 111863788 + ... + 111863828.

It is an arithmetic number, because the mean of its divisors is an integer number (29333850).

Almost surely, 2^4586416128 is an apocalyptic number.

4586416128 is a gapful number since it is divisible by the number (48) 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 4586416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448148800).

4586416128 is an abundant number, since it is smaller than the sum of its proper divisors (12309881472).

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

4586416128 is a wasteful number, since it uses less digits than its factorization.

4586416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 4586416128 is about 67723.0841589483. The cubic root of 4586416128 is about 1661.4648278860.

The spelling of 4586416128 in words is "four billion, five hundred eighty-six million, four hundred sixteen thousand, one hundred twenty-eight".