4681248000 has 864 divisors, whose sum is σ = 18999192576. Its totient is φ = 1013760000.

The previous prime is 4681247981. The next prime is 4681248007. The reversal of 4681248000 is 8421864.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151007985 + ... + 151008015.

Almost surely, 2^4681248000 is an apocalyptic number.

4681248000 is a gapful number since it is divisible by the number (40) 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 4681248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499596288).

4681248000 is an abundant number, since it is smaller than the sum of its proper divisors (14317944576).

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

4681248000 is a wasteful number, since it uses less digits than its factorization.

4681248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4681248000 is about 68419.6463013366. The cubic root of 4681248000 is about 1672.8379917547.

Adding to 4681248000 its reverse (8421864), we get a palindrome (4689669864).

The spelling of 4681248000 in words is "four billion, six hundred eighty-one million, two hundred forty-eight thousand".