82012683924864 has 1024 divisors, whose sum is σ = 330548739840000. Its totient is φ = 19357563617280.

The previous prime is 82012683924841. The next prime is 82012683924959. The reversal of 82012683924864 is 46842938621028.

82012683924864 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 2 + 68 + 3 + 92 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130880652 + ... + 131505780.

It is an arithmetic number, because the mean of its divisors is an integer number (322801503750).

Almost surely, 2^{82012683924864} is an apocalyptic number.

82012683924864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82012683924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165274369920000).

82012683924864 is an abundant number, since it is smaller than the sum of its proper divisors (248536055915136).

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

82012683924864 is a wasteful number, since it uses less digits than its factorization.

82012683924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625216 (or 625198 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 82012683924864 in words is "eighty-two trillion, twelve billion, six hundred eighty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".