8582022144 has 528 divisors, whose sum is σ = 29270462400. Its totient is φ = 2468413440.

The previous prime is 8582022101. The next prime is 8582022203. The reversal of 8582022144 is 4412202858.

It is a super-2 number, since 2×8582022144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8582022099 and 8582022108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276839409 + ... + 276839439.

Almost surely, 2^8582022144 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 8582022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635231200).

8582022144 is an abundant number, since it is smaller than the sum of its proper divisors (20688440256).

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

8582022144 is a wasteful number, since it uses less digits than its factorization.

8582022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8582022144 is about 92639.2041416592. The cubic root of 8582022144 is about 2047.3709819548.

The spelling of 8582022144 in words is "eight billion, five hundred eighty-two million, twenty-two thousand, one hundred forty-four".