4584349056 has 192 divisors, whose sum is σ = 14435696880. Its totient is φ = 1284820992.

The previous prime is 4584349039. The next prime is 4584349057. The reversal of 4584349056 is 6509434854.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4584349056² = 42032512534496182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4584348996 and 4584349014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4584349057) 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, 994950 + ... + 999546.

Almost surely, 2^4584349056 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 4584349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217848440).

4584349056 is an abundant number, since it is smaller than the sum of its proper divisors (9851347824).

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

4584349056 is a wasteful number, since it uses less digits than its factorization.

4584349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 4584349056 is about 67707.8212321147. The cubic root of 4584349056 is about 1661.2151860881.

The spelling of 4584349056 in words is "four billion, five hundred eighty-four million, three hundred forty-nine thousand, fifty-six".