4613559552 has 576 divisors, whose sum is σ = 16953753600. Its totient is φ = 1207664640.

The previous prime is 4613559539. The next prime is 4613559583. The reversal of 4613559552 is 2559553164.

4613559552 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 5 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 4613559498 and 4613559507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58399449 + ... + 58399527.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^4613559552 is an apocalyptic number.

4613559552 is a gapful number since it is divisible by the number (42) 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 4613559552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476876800).

4613559552 is an abundant number, since it is smaller than the sum of its proper divisors (12340194048).

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

4613559552 is a wasteful number, since it uses less digits than its factorization.

4613559552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 4613559552 is about 67923.1886177320. The cubic root of 4613559552 is about 1664.7360217809.

The spelling of 4613559552 in words is "four billion, six hundred thirteen million, five hundred fifty-nine thousand, five hundred fifty-two".