8045428256208 has 1120 divisors, whose sum is σ = 29245637088000. Its totient is φ = 2135551122432.

The previous prime is 8045428256161. The next prime is 8045428256233. The reversal of 8045428256208 is 8026528245408.

8045428256208 is a `hidden beast` number, since 8 + 0 + 4 + 5 + 4 + 2 + 8 + 2 + 5 + 620 + 8 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4028756266 + ... + 4028758262.

Almost surely, 2^{8045428256208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045428256208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622818544000).

8045428256208 is an abundant number, since it is smaller than the sum of its proper divisors (21200208831792).

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

8045428256208 is a wasteful number, since it uses less digits than its factorization.

8045428256208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 8045428256208 in words is "eight trillion, forty-five billion, four hundred twenty-eight million, two hundred fifty-six thousand, two hundred eight".