82341824319 has 32 divisors (see below), whose sum is σ = 124324531200. Its totient is φ = 53847097920.

The previous prime is 82341824263. The next prime is 82341824333. The reversal of 82341824319 is 91342814328.

82341824319 is a `hidden beast` number, since 8 + 2 + 34 + 182 + 431 + 9 = 666.

It is not a de Polignac number, because 82341824319 - 2¹⁶ = 82341758783 is a prime.

It is a super-2 number, since 2×82341824319² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82341824219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681739 + ... + 793379.

It is an arithmetic number, because the mean of its divisors is an integer number (3885141600).

Almost surely, 2^82341824319 is an apocalyptic number.

82341824319 is a deficient number, since it is larger than the sum of its proper divisors (41982706881).

82341824319 is a wasteful number, since it uses less digits than its factorization.

82341824319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112172 (or 112166 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

Subtracting 82341824319 from its reverse (91342814328), we obtain a palindrome (9000990009).

The spelling of 82341824319 in words is "eighty-two billion, three hundred forty-one million, eight hundred twenty-four thousand, three hundred nineteen".