8269206144 has 128 divisors (see below), whose sum is σ = 23171136000. Its totient is φ = 2605685760.

The previous prime is 8269206137. The next prime is 8269206161. The reversal of 8269206144 is 4416029628.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8269206096 and 8269206105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4515309 + ... + 4517139.

It is an arithmetic number, because the mean of its divisors is an integer number (181024500).

Almost surely, 2^8269206144 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 8269206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585568000).

8269206144 is an abundant number, since it is smaller than the sum of its proper divisors (14901929856).

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

8269206144 is a wasteful number, since it uses less digits than its factorization.

8269206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8269206144 is about 90935.1755043119. The cubic root of 8269206144 is about 2022.1868079796.

The spelling of 8269206144 in words is "eight billion, two hundred sixty-nine million, two hundred six thousand, one hundred forty-four".