8945356800 has 312 divisors, whose sum is σ = 30413641696. Its totient is φ = 2318008320.

The previous prime is 8945356787. The next prime is 8945356817. The reversal of 8945356800 is 86535498.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8945356800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11366007 + ... + 11366793.

Almost surely, 2^8945356800 is an apocalyptic number.

8945356800 is a gapful number since it is divisible by the number (80) 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 8945356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206820848).

8945356800 is an abundant number, since it is smaller than the sum of its proper divisors (21468284896).

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

8945356800 is a wasteful number, since it uses less digits than its factorization.

8945356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 8945356800 is about 94579.8963839568. The cubic root of 8945356800 is about 2075.8655546079.

The spelling of 8945356800 in words is "eight billion, nine hundred forty-five million, three hundred fifty-six thousand, eight hundred".