5233563648 has 144 divisors (see below), whose sum is σ = 15638313600. Its totient is φ = 1684193280.

The previous prime is 5233563641. The next prime is 5233563667. The reversal of 5233563648 is 8463653325.

5233563648 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 5 + 636 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233563641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529633 + ... + 539423.

It is an arithmetic number, because the mean of its divisors is an integer number (108599400).

Almost surely, 2^5233563648 is an apocalyptic number.

5233563648 is a gapful number since it is divisible by the number (58) 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 5233563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

5233563648 is an abundant number, since it is smaller than the sum of its proper divisors (10404749952).

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

5233563648 is a wasteful number, since it uses less digits than its factorization.

5233563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9825 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 5233563648 is about 72343.3732141376. The cubic root of 5233563648 is about 1736.1976740509.

The spelling of 5233563648 in words is "five billion, two hundred thirty-three million, five hundred sixty-three thousand, six hundred forty-eight".