82964588546928 has 320 divisors, whose sum is σ = 242525842352640. Its totient is φ = 24217449984000.

The previous prime is 82964588546897. The next prime is 82964588546947.

82964588546928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82964588546928² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2770365651 + ... + 2770395597.

It is an arithmetic number, because the mean of its divisors is an integer number (757893257352).

Almost surely, 2^{82964588546928} is an apocalyptic number.

82964588546928 is a gapful number since it is divisible by the number (88) 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 82964588546928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121262921176320).

82964588546928 is an abundant number, since it is smaller than the sum of its proper divisors (159561253805712).

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

82964588546928 is a wasteful number, since it uses less digits than its factorization.

82964588546928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31416 (or 31410 counting only the distinct ones).

The product of its digits is 19110297600, while the sum is 84.

The spelling of 82964588546928 in words is "eighty-two trillion, nine hundred sixty-four billion, five hundred eighty-eight million, five hundred forty-six thousand, nine hundred twenty-eight".