4648295232 has 252 divisors, whose sum is σ = 15612351300. Its totient is φ = 1318367232.

The previous prime is 4648295219. The next prime is 4648295297. The reversal of 4648295232 is 2325928464.

4648295232 is a `hidden beast` number, since 46 + 4 + 82 + 9 + 523 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2926377216 + 1721918016 = 54096^2 + 41496^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4430644 + ... + 4431692.

It is an arithmetic number, because the mean of its divisors is an integer number (61953775).

Almost surely, 2^4648295232 is an apocalyptic number.

4648295232 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 4648295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806175650).

4648295232 is an abundant number, since it is smaller than the sum of its proper divisors (10964056068).

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

4648295232 is a wasteful number, since it uses less digits than its factorization.

4648295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4648295232 is about 68178.4073735959. The cubic root of 4648295232 is about 1668.9035354588.

The spelling of 4648295232 in words is "four billion, six hundred forty-eight million, two hundred ninety-five thousand, two hundred thirty-two".