4809564144 has 360 divisors, whose sum is σ = 17288893440. Its totient is φ = 1221200640.

The previous prime is 4809564143. The next prime is 4809564167. The reversal of 4809564144 is 4414659084.

4809564144 is a `hidden beast` number, since 4 + 80 + 9 + 564 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×4809564144³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4809564144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809564143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5732077 + ... + 5732915.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^4809564144 is an apocalyptic number.

4809564144 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 4809564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644446720).

4809564144 is an abundant number, since it is smaller than the sum of its proper divisors (12479329296).

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

4809564144 is a wasteful number, since it uses less digits than its factorization.

4809564144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4809564144 is about 69351.0212181479. The cubic root of 4809564144 is about 1687.9849638905.

The spelling of 4809564144 in words is "four billion, eight hundred nine million, five hundred sixty-four thousand, one hundred forty-four".