9045875916800 has 144 divisors (see below), whose sum is σ = 22440182950005. Its totient is φ = 3617261486080.

The previous prime is 9045875916793. The next prime is 9045875916809. The reversal of 9045875916800 is 86195785409.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 8864958398464 + 180917518336 = 2977408^2 + 425344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2126720.

It is a super-2 number, since 2×9045875916800² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9045875916809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2722199939 + ... + 2722203261.

Almost surely, 2^{9045875916800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045875916800

9045875916800 is an abundant number, since it is smaller than the sum of its proper divisors (13394307033205).

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

9045875916800 is an frugal number, since it uses more digits than its factorization.

9045875916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 9045875916800 in words is "nine trillion, forty-five billion, eight hundred seventy-five million, nine hundred sixteen thousand, eight hundred".