8488414752 has 96 divisors (see below), whose sum is σ = 22711046400. Its totient is φ = 2775472128.

The previous prime is 8488414751. The next prime is 8488414763. The reversal of 8488414752 is 2574148848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8488414695 and 8488414704.

It is not an unprimeable number, because it can be changed into a prime (8488414751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187124 + ... + 1194252.

It is an arithmetic number, because the mean of its divisors is an integer number (236573400).

Almost surely, 2^8488414752 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 8488414752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355523200).

8488414752 is an abundant number, since it is smaller than the sum of its proper divisors (14222631648).

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

8488414752 is a wasteful number, since it uses less digits than its factorization.

8488414752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7370 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 51.

The square root of 8488414752 is about 92132.5933207136. The cubic root of 8488414752 is about 2039.8999335768.

The spelling of 8488414752 in words is "eight billion, four hundred eighty-eight million, four hundred fourteen thousand, seven hundred fifty-two".