8751991248 has 640 divisors, whose sum is σ = 34704445440. Its totient is φ = 2037934080.

The previous prime is 8751991231. The next prime is 8751991273. The reversal of 8751991248 is 8421991578.

It is a happy number.

8751991248 is a `hidden beast` number, since 87 + 519 + 9 + 1 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8751991194 and 8751991203.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 15999711 + ... + 16000257.

It is an arithmetic number, because the mean of its divisors is an integer number (54225696).

Almost surely, 2^8751991248 is an apocalyptic number.

8751991248 is a gapful number since it is divisible by the number (88) 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 8751991248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352222720).

8751991248 is an abundant number, since it is smaller than the sum of its proper divisors (25952454192).

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

8751991248 is a wasteful number, since it uses less digits than its factorization.

8751991248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 8751991248 is about 93552.0777321381. The cubic root of 8751991248 is about 2060.7989523551.

It can be divided in two parts, 8751 and 991248, that added together give a palindrome (999999).

The spelling of 8751991248 in words is "eight billion, seven hundred fifty-one million, nine hundred ninety-one thousand, two hundred forty-eight".