8358427252224 has 560 divisors, whose sum is σ = 28656703924992. Its totient is φ = 2384759107584.

The previous prime is 8358427252199. The next prime is 8358427252261. The reversal of 8358427252224 is 4222527248538.

8358427252224 is a `hidden beast` number, since 8 + 3 + 5 + 8 + 42 + 72 + 522 + 2 + 4 = 666.

It is a super-2 number, since 2×8358427252224² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2307044077 + ... + 2307047699.

Almost surely, 2^{8358427252224} is an apocalyptic number.

8358427252224 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 8358427252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328351962496).

8358427252224 is an abundant number, since it is smaller than the sum of its proper divisors (20298276672768).

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

8358427252224 is an frugal number, since it uses more digits than its factorization.

8358427252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4518 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 8358427252224 in words is "eight trillion, three hundred fifty-eight billion, four hundred twenty-seven million, two hundred fifty-two thousand, two hundred twenty-four".