9144576000 has 1008 divisors, whose sum is σ = 39799124820. Its totient is φ = 2090188800.

The previous prime is 9144575983. The next prime is 9144576017. The reversal of 9144576000 is 6754419.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9144576000 is a `hidden beast` number, since 9 + 1 + 4 + 45 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9144575983) and next prime (9144576017).

It can be written as a sum of positive squares in 2 ways, for example, as 6181733376 + 2962842624 = 78624^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1306367997 + ... + 1306368003.

Almost surely, 2^9144576000 is an apocalyptic number.

9144576000 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 9144576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899562410).

9144576000 is an abundant number, since it is smaller than the sum of its proper divisors (30654548820).

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

9144576000 is an frugal number, since it uses more digits than its factorization.

9144576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9144576000 is about 95627.2764434918. The cubic root of 9144576000 is about 2091.1628640829.

The spelling of 9144576000 in words is "nine billion, one hundred forty-four million, five hundred seventy-six thousand".