4723166448 has 720 divisors, whose sum is σ = 18770798592. Its totient is φ = 1088640000.

The previous prime is 4723166419. The next prime is 4723166473. The reversal of 4723166448 is 8446613274.

4723166448 is a `hidden beast` number, since 47 + 2 + 3 + 166 + 448 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31279173 + ... + 31279323.

Almost surely, 2^4723166448 is an apocalyptic number.

4723166448 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 4723166448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9385399296).

4723166448 is an abundant number, since it is smaller than the sum of its proper divisors (14047632144).

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

4723166448 is a wasteful number, since it uses less digits than its factorization.

4723166448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4723166448 is about 68725.2970019046. The cubic root of 4723166448 is about 1677.8163295532.

It can be divided in two parts, 4723 and 166448, that added together give a palindrome (171171).

The spelling of 4723166448 in words is "four billion, seven hundred twenty-three million, one hundred sixty-six thousand, four hundred forty-eight".