82581917418 has 512 divisors, whose sum is σ = 255637831680. Its totient is φ = 19069240320.

The previous prime is 82581917413. The next prime is 82581917419. The reversal of 82581917418 is 81471918528.

82581917418 is a `hidden beast` number, since 8 + 2 + 581 + 9 + 17 + 41 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82581917413) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 313999555 + ... + 313999817.

It is an arithmetic number, because the mean of its divisors is an integer number (499292640).

Almost surely, 2^82581917418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82581917418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127818915840).

82581917418 is an abundant number, since it is smaller than the sum of its proper divisors (173055914262).

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

82581917418 is a wasteful number, since it uses less digits than its factorization.

82581917418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

It can be divided in two parts, 82581 and 917418, that added together give a palindrome (999999).

The spelling of 82581917418 in words is "eighty-two billion, five hundred eighty-one million, nine hundred seventeen thousand, four hundred eighteen".