9504718848 has 160 divisors (see below), whose sum is σ = 28404310770. Its totient is φ = 3167354880.

The previous prime is 9504718829. The next prime is 9504718891. The reversal of 9504718848 is 8488174059.

9504718848 is a `hidden beast` number, since 9 + 50 + 471 + 88 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6318342144 + 3186376704 = 79488^2 + 56448^2 .

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 = 9504718794 and 9504718803.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2652418 + ... + 2655998.

Almost surely, 2^9504718848 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 9504718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202155385).

9504718848 is an abundant number, since it is smaller than the sum of its proper divisors (18899591922).

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

9504718848 is an frugal number, since it uses more digits than its factorization.

9504718848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 9504718848 is about 97492.1476222573. The cubic root of 9504718848 is about 2118.2624043913.

The spelling of 9504718848 in words is "nine billion, five hundred four million, seven hundred eighteen thousand, eight hundred forty-eight".