8382592952838 has 96 divisors (see below), whose sum is σ = 19649375141760. Its totient is φ = 2567418163200.

The previous prime is 8382592952831. The next prime is 8382592952857.

8382592952838 is a `hidden beast` number, since 8 + 3 + 8 + 2 + 5 + 92 + 9 + 528 + 3 + 8 = 666.

8382592952838 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8382592952838² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382592952831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46911363 + ... + 47089713.

It is an arithmetic number, because the mean of its divisors is an integer number (204680991060).

Almost surely, 2^{8382592952838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382592952838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824687570880).

8382592952838 is an abundant number, since it is smaller than the sum of its proper divisors (11266782188922).

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

8382592952838 is a wasteful number, since it uses less digits than its factorization.

8382592952838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179294 (or 179291 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 8382592952838 in words is "eight trillion, three hundred eighty-two billion, five hundred ninety-two million, nine hundred fifty-two thousand, eight hundred thirty-eight".