8228746755072 has 880 divisors, whose sum is σ = 25906934710272. Its totient is φ = 2598522716160.

The previous prime is 8228746755023. The next prime is 8228746755083. The reversal of 8228746755072 is 2705576478228.

8228746755072 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 7 + 4 + 6 + 7 + 550 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36900209553 + ... + 36900209775.

Almost surely, 2^{8228746755072} 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 8228746755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953467355136).

8228746755072 is an abundant number, since it is smaller than the sum of its proper divisors (17678187955200).

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

8228746755072 is a wasteful number, since it uses less digits than its factorization.

8228746755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 8228746755072 in words is "eight trillion, two hundred twenty-eight billion, seven hundred forty-six million, seven hundred fifty-five thousand, seventy-two".