4531648968 has 288 divisors, whose sum is σ = 16255287360. Its totient is φ = 1125653760.

The previous prime is 4531648967. The next prime is 4531648969. The reversal of 4531648968 is 8698461354.

4531648968 is a `hidden beast` number, since 4 + 531 + 6 + 48 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4531648967) and next prime (4531648969).

It is not an unprimeable number, because it can be changed into a prime (4531648967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 890046 + ... + 895122.

It is an arithmetic number, because the mean of its divisors is an integer number (56441970).

Almost surely, 2^4531648968 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 4531648968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127643680).

4531648968 is an abundant number, since it is smaller than the sum of its proper divisors (11723638392).

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

4531648968 is a wasteful number, since it uses less digits than its factorization.

4531648968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5123 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4531648968 is about 67317.5234838597. The cubic root of 4531648968 is about 1654.8250522288.

The spelling of 4531648968 in words is "four billion, five hundred thirty-one million, six hundred forty-eight thousand, nine hundred sixty-eight".