9456048000 has 1024 divisors, whose sum is σ = 41243904000. Its totient is φ = 2084659200.

The previous prime is 9456047981. The next prime is 9456048011. The reversal of 9456048000 is 8406549.

9456048000 is a `hidden beast` number, since 9 + 45 + 604 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160271971 + ... + 160272029.

It is an arithmetic number, because the mean of its divisors is an integer number (40277250).

Almost surely, 2^9456048000 is an apocalyptic number.

9456048000 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 9456048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20621952000).

9456048000 is an abundant number, since it is smaller than the sum of its proper divisors (31787856000).

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

9456048000 is a wasteful number, since it uses less digits than its factorization.

9456048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9456048000 is about 97242.2130558535. The cubic root of 9456048000 is about 2114.6405505534.

It can be divided in two parts, 945 and 6048000, that multiplied together give a square (5715360000 = 75600²).

The spelling of 9456048000 in words is "nine billion, four hundred fifty-six million, forty-eight thousand".