8229019844304 has 300 divisors, whose sum is σ = 28661063537700. Its totient is φ = 2270073931776.

The previous prime is 8229019844281. The next prime is 8229019844327. The reversal of 8229019844304 is 4034489109228.

It is a happy number.

8229019844304 is a `hidden beast` number, since 8 + 2 + 2 + 9 + 0 + 198 + 443 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8229019844281) and next prime (8229019844327).

It can be written as a sum of positive squares in 2 ways, for example, as 6928160979600 + 1300858864704 = 2632140^2 + 1140552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 392569 + ... + 4075800.

It is an arithmetic number, because the mean of its divisors is an integer number (95536878459).

Almost surely, 2^{8229019844304} is an apocalyptic number.

8229019844304 is a gapful number since it is divisible by the number (84) 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 8229019844304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330531768850).

8229019844304 is an abundant number, since it is smaller than the sum of its proper divisors (20432043693396).

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

8229019844304 is a wasteful number, since it uses less digits than its factorization.

8229019844304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468432 (or 4468410 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8229019844304 in words is "eight trillion, two hundred twenty-nine billion, nineteen million, eight hundred forty-four thousand, three hundred four".