8226054144000 has 4080 divisors, whose sum is σ = 40614763153536. Its totient is φ = 1634992128000.

The previous prime is 8226054143981. The next prime is 8226054144001. The reversal of 8226054144000 is 4414506228.

8226054144000 is a `hidden beast` number, since 8 + 2 + 2 + 605 + 4 + 1 + 4 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8226054144001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 357654527989 + ... + 357654528011.

Almost surely, 2^{8226054144000} is an apocalyptic number.

8226054144000 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 8226054144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307381576768).

8226054144000 is an abundant number, since it is smaller than the sum of its proper divisors (32388709009536).

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

8226054144000 is an equidigital number, since it uses as much as digits as its factorization.

8226054144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 8226054144000 in words is "eight trillion, two hundred twenty-six billion, fifty-four million, one hundred forty-four thousand".