8222617271232 has 1120 divisors, whose sum is σ = 31884979940352. Its totient is φ = 2033264001024.

The previous prime is 8222617271207. The next prime is 8222617271269. The reversal of 8222617271232 is 2321727162228.

8222617271232 is a `hidden beast` number, since 8 + 2 + 2 + 2 + 617 + 2 + 7 + 1 + 23 + 2 = 666.

It is a super-2 number, since 2×8222617271232² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2269558573 + ... + 2269562195.

Almost surely, 2^{8222617271232} 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 8222617271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942489970176).

8222617271232 is an abundant number, since it is smaller than the sum of its proper divisors (23662362669120).

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

8222617271232 is a wasteful number, since it uses less digits than its factorization.

8222617271232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3948 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 8222617271232 in words is "eight trillion, two hundred twenty-two billion, six hundred seventeen million, two hundred seventy-one thousand, two hundred thirty-two".