8218189411200 has 384 divisors, whose sum is σ = 31659259392000. Its totient is φ = 2076173752320.

The previous prime is 8218189411171. The next prime is 8218189411213. The reversal of 8218189411200 is 21149818128.

It is a happy number.

8218189411200 is a `hidden beast` number, since 8 + 2 + 18 + 18 + 9 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861504 + ... + 4144703.

It is an arithmetic number, because the mean of its divisors is an integer number (82445988000).

Almost surely, 2^{8218189411200} is an apocalyptic number.

8218189411200 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 8218189411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829629696000).

8218189411200 is an abundant number, since it is smaller than the sum of its proper divisors (23441069980800).

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

8218189411200 is a wasteful number, since it uses less digits than its factorization.

8218189411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006259 (or 5006236 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 8218189411200 in words is "eight trillion, two hundred eighteen billion, one hundred eighty-nine million, four hundred eleven thousand, two hundred".