4486123824 has 160 divisors (see below), whose sum is σ = 14477406720. Its totient is φ = 1165418496.

The previous prime is 4486123819. The next prime is 4486123847. The reversal of 4486123824 is 4283216844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 284992 + ... + 300320.

It is an arithmetic number, because the mean of its divisors is an integer number (90483792).

Almost surely, 2^4486123824 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 4486123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238703360).

4486123824 is an abundant number, since it is smaller than the sum of its proper divisors (9991282896).

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

4486123824 is a wasteful number, since it uses less digits than its factorization.

4486123824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15421 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4486123824 is about 66978.5325608138. The cubic root of 4486123824 is about 1649.2649096573.

The spelling of 4486123824 in words is "four billion, four hundred eighty-six million, one hundred twenty-three thousand, eight hundred twenty-four".