4662112224 has 192 divisors, whose sum is σ = 15326986752. Its totient is φ = 1205452800.

The previous prime is 4662112183. The next prime is 4662112243. The reversal of 4662112224 is 4222112664.

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

It is a junction number, because it is equal to n+sod(n) for n = 4662112191 and 4662112200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780164 + ... + 1782780.

It is an arithmetic number, because the mean of its divisors is an integer number (79828056).

Almost surely, 2^4662112224 is an apocalyptic number.

4662112224 is a gapful number since it is divisible by the number (44) 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 4662112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663493376).

4662112224 is an abundant number, since it is smaller than the sum of its proper divisors (10664874528).

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

4662112224 is a wasteful number, since it uses less digits than its factorization.

4662112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2881 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4662112224 is about 68279.6618620801. The cubic root of 4662112224 is about 1670.5554971324. Note that the first 3 decimals are identical.

Adding to 4662112224 its reverse (4222112664), we get a palindrome (8884224888).

It can be divided in two parts, 4662 and 112224, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 4662112224 in words is "four billion, six hundred sixty-two million, one hundred twelve thousand, two hundred twenty-four".