4623144768 has 168 divisors, whose sum is σ = 14939751680. Its totient is φ = 1400889600.

The previous prime is 4623144767. The next prime is 4623144769. The reversal of 4623144768 is 8674413264.

4623144768 is a `hidden beast` number, since 4 + 623 + 14 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4623144767) and next prime (4623144769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623144767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198033 + ... + 220143.

Almost surely, 2^4623144768 is an apocalyptic number.

4623144768 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 4623144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469875840).

4623144768 is an abundant number, since it is smaller than the sum of its proper divisors (10316606912).

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

4623144768 is a wasteful number, since it uses less digits than its factorization.

4623144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22154 (or 22127 counting only the distinct ones).

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

The square root of 4623144768 is about 67993.7112386138. The cubic root of 4623144768 is about 1665.8881196465. Note that the first 3 decimals are identical.

The spelling of 4623144768 in words is "four billion, six hundred twenty-three million, one hundred forty-four thousand, seven hundred sixty-eight".