9481456800 has 108 divisors (see below), whose sum is σ = 33434012430. Its totient is φ = 2528386560.

The previous prime is 9481456799. The next prime is 9481456807. The reversal of 9481456800 is 86541849.

9481456800 is a `hidden beast` number, since 9 + 4 + 81 + 4 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6830030736 + 2651426064 = 82644^2 + 51492^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9481456807) 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 17 ways as a sum of consecutive naturals, for example, 651235 + ... + 665634.

Almost surely, 2^9481456800 is an apocalyptic number.

9481456800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9481456800 is an abundant number, since it is smaller than the sum of its proper divisors (23952555630).

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

9481456800 is a wasteful number, since it uses less digits than its factorization.

9481456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316895 (or 1316879 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9481456800 is about 97372.7723750331. The cubic root of 9481456800 is about 2116.5328994212.

The spelling of 9481456800 in words is "nine billion, four hundred eighty-one million, four hundred fifty-six thousand, eight hundred".