9054481708800 has 1296 divisors, whose sum is σ = 37887586289280. Its totient is φ = 2119219200000.

The previous prime is 9054481708787. The next prime is 9054481708841. The reversal of 9054481708800 is 88071844509.

9054481708800 is a `hidden beast` number, since 9 + 0 + 544 + 8 + 17 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496099675 + ... + 496117925.

It is an arithmetic number, because the mean of its divisors is an integer number (29234248680).

Almost surely, 2^{9054481708800} is an apocalyptic number.

9054481708800 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 9054481708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943793144640).

9054481708800 is an abundant number, since it is smaller than the sum of its proper divisors (28833104580480).

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

9054481708800 is a wasteful number, since it uses less digits than its factorization.

9054481708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332 (or 18301 counting only the distinct ones).

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

The spelling of 9054481708800 in words is "nine trillion, fifty-four billion, four hundred eighty-one million, seven hundred eight thousand, eight hundred".