8948312352 has 480 divisors, whose sum is σ = 32097098880. Its totient is φ = 2388787200.

The previous prime is 8948312339. The next prime is 8948312353. The reversal of 8948312352 is 2532138498.

It is a junction number, because it is equal to n+sod(n) for n = 8948312298 and 8948312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948312353) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 34818208 + ... + 34818464.

It is an arithmetic number, because the mean of its divisors is an integer number (66868956).

Almost surely, 2^8948312352 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 8948312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048549440).

8948312352 is an abundant number, since it is smaller than the sum of its proper divisors (23148786528).

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

8948312352 is a wasteful number, since it uses less digits than its factorization.

8948312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 8948312352 is about 94595.5197247734. The cubic root of 8948312352 is about 2076.0941518995.

The spelling of 8948312352 in words is "eight billion, nine hundred forty-eight million, three hundred twelve thousand, three hundred fifty-two".