9468842803200 has 2448 divisors, whose sum is σ = 40206186535200. Its totient is φ = 2179989504000.

The previous prime is 9468842803181. The next prime is 9468842803201. The reversal of 9468842803200 is 23082488649.

9468842803200 is a `hidden beast` number, since 9 + 4 + 6 + 8 + 8 + 428 + 0 + 3 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9468842803201) 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 143 ways as a sum of consecutive naturals, for example, 155226931170 + ... + 155226931230.

Almost surely, 2^{9468842803200} is an apocalyptic number.

9468842803200 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 9468842803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103093267600).

9468842803200 is an abundant number, since it is smaller than the sum of its proper divisors (30737343732000).

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

9468842803200 is a wasteful number, since it uses less digits than its factorization.

9468842803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 9468842803200 in words is "nine trillion, four hundred sixty-eight billion, eight hundred forty-two million, eight hundred three thousand, two hundred".