8945485516800 has 4368 divisors, whose sum is σ = 43162344754560. Its totient is φ = 1788723855360.

The previous prime is 8945485516787. The next prime is 8945485516813. The reversal of 8945485516800 is 86155845498.

8945485516800 is a `hidden beast` number, since 8 + 9 + 4 + 548 + 5 + 5 + 1 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8945485516787) and next prime (8945485516813).

It is a super-2 number, since 2×8945485516800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 168782745574 + ... + 168782745626.

Almost surely, 2^{8945485516800} is an apocalyptic number.

8945485516800 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 8945485516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581172377280).

8945485516800 is an abundant number, since it is smaller than the sum of its proper divisors (34216859237760).

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

8945485516800 is a wasteful number, since it uses less digits than its factorization.

8945485516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 8945485516800 in words is "eight trillion, nine hundred forty-five billion, four hundred eighty-five million, five hundred sixteen thousand, eight hundred".