82296874921824 has 672 divisors, whose sum is σ = 258294467499264. Its totient is φ = 25753753681920.

The previous prime is 82296874921817. The next prime is 82296874921831. The reversal of 82296874921824 is 42812947869228.

82296874921824 is a `hidden beast` number, since 8 + 2 + 29 + 6 + 87 + 492 + 18 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (82296874921817) and next prime (82296874921831).

It is a super-2 number, since 2×82296874921824² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9445292892 + ... + 9445301604.

It is an arithmetic number, because the mean of its divisors is an integer number (384366767112).

Almost surely, 2^{82296874921824} 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 82296874921824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129147233749632).

82296874921824 is an abundant number, since it is smaller than the sum of its proper divisors (175997592577440).

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

82296874921824 is a wasteful number, since it uses less digits than its factorization.

82296874921824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9139 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 82296874921824 in words is "eighty-two trillion, two hundred ninety-six billion, eight hundred seventy-four million, nine hundred twenty-one thousand, eight hundred twenty-four".