4923846144 has 300 divisors, whose sum is σ = 17102849544. Its totient is φ = 1406232576.

The previous prime is 4923846097. The next prime is 4923846163. The reversal of 4923846144 is 4416483294.

4923846144 is a `hidden beast` number, since 4 + 9 + 23 + 8 + 4 + 614 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4923846144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2030917 + ... + 2033339.

Almost surely, 2^4923846144 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 4923846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551424772).

4923846144 is an abundant number, since it is smaller than the sum of its proper divisors (12179003400).

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

4923846144 is an equidigital number, since it uses as much as digits as its factorization.

4923846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2435 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4923846144 is about 70170.1228729151. The cubic root of 4923846144 is about 1701.2500775442.

The spelling of 4923846144 in words is "four billion, nine hundred twenty-three million, eight hundred forty-six thousand, one hundred forty-four".