4648095648 has 144 divisors (see below), whose sum is σ = 15147699840. Its totient is φ = 1324389888.

The previous prime is 4648095637. The next prime is 4648095653. The reversal of 4648095648 is 8465908464.

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

It is a junction number, because it is equal to n+sod(n) for n = 4648095594 and 4648095603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781261 + ... + 787187.

It is an arithmetic number, because the mean of its divisors is an integer number (105192360).

Almost surely, 2^4648095648 is an apocalyptic number.

4648095648 is a gapful number since it is divisible by the number (48) 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 4648095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573849920).

4648095648 is an abundant number, since it is smaller than the sum of its proper divisors (10499604192).

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

4648095648 is a wasteful number, since it uses less digits than its factorization.

4648095648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4648095648 is about 68176.9436686626. The cubic root of 4648095648 is about 1668.8796491956.

The spelling of 4648095648 in words is "four billion, six hundred forty-eight million, ninety-five thousand, six hundred forty-eight".