8228034625104 has 800 divisors, whose sum is σ = 28712289129216. Its totient is φ = 2225424015360.

The previous prime is 8228034625103. The next prime is 8228034625121. The reversal of 8228034625104 is 4015264308228.

8228034625104 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 0 + 3 + 4 + 625 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8228034625104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228034625103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7527935982 + ... + 7527937074.

Almost surely, 2^{8228034625104} is an apocalyptic number.

8228034625104 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 8228034625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356144564608).

8228034625104 is an abundant number, since it is smaller than the sum of its proper divisors (20484254504112).

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

8228034625104 is a wasteful number, since it uses less digits than its factorization.

8228034625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 8228034625104 in words is "eight trillion, two hundred twenty-eight billion, thirty-four million, six hundred twenty-five thousand, one hundred four".