9548461440 has 768 divisors, whose sum is σ = 40098240000. Its totient is φ = 2170312704.

The previous prime is 9548461337. The next prime is 9548461471. The reversal of 9548461440 is 441648459.

9548461440 is a `hidden beast` number, since 9 + 548 + 4 + 61 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53343271 + ... + 53343449.

It is an arithmetic number, because the mean of its divisors is an integer number (52211250).

Almost surely, 2^9548461440 is an apocalyptic number.

9548461440 is a gapful number since it is divisible by the number (90) 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 9548461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120000).

9548461440 is an abundant number, since it is smaller than the sum of its proper divisors (30549778560).

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

9548461440 is an equidigital number, since it uses as much as digits as its factorization.

9548461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 9548461440 is about 97716.2291536058. The cubic root of 9548461440 is about 2121.5069859511.

The spelling of 9548461440 in words is "nine billion, five hundred forty-eight million, four hundred sixty-one thousand, four hundred forty".