4811769144 has 256 divisors, whose sum is σ = 16836019200. Its totient is φ = 1239307776.

The previous prime is 4811769091. The next prime is 4811769161. The reversal of 4811769144 is 4419671184.

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 4811769144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842362 + ... + 848054.

It is an arithmetic number, because the mean of its divisors is an integer number (65765700).

Almost surely, 2^4811769144 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 4811769144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418009600).

4811769144 is an abundant number, since it is smaller than the sum of its proper divisors (12024250056).

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

4811769144 is a wasteful number, since it uses less digits than its factorization.

4811769144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5761 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 4811769144 is about 69366.9167831467. The cubic root of 4811769144 is about 1688.2428831863.

The spelling of 4811769144 in words is "four billion, eight hundred eleven million, seven hundred sixty-nine thousand, one hundred forty-four".